###### Asked in Math and Arithmetic, Algebra, Calculus

Math and Arithmetic

Algebra

Calculus

# How do you find the derivative of - csc x - sin x?

## Answer

###### Wiki User

###### 10/28/2013

d/dx (-cscx-sinx)=cscxcotx-cosx

## Related Questions

###### Asked in Math and Arithmetic, Calculus

### What is the derivative of csc x?

The derivative of csc(x) is -cot(x)csc(x).

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### Proof of the derivative of the cosecant function?

Express the cosecant in terms of sines and cosines; in this
case, csc x = 1 / sin x. This can also be written as (sin x)-1.
Remember that the derivative of sin x is cos x, and use either the
formula for the derivative of a quotient (using the first
expression), or the formula for the derivative of a power (using
the second expression).
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### Csc squared divided by cot equals csc x sec. can someone make them equal?

cot(x)=1/tan(x)=1/(sin(x)/cos(x))=cos(x)/sin(x)
csc(x)=1/sin(x)
sec(x)=1/cos(x)
Therefore,
(csc(x))2/cot(x)=(1/(sin(x))2)/cot(x)=(1/(sin(x))2)/(cos(x)/sin(x))=(1/(sin(x))2)(sin(x)/cos(x))=(1/sin(x))*(1/cos(x))=csc(x)*sec(x)
...

Read More

###### Asked in Algebra, Math and Arithmetic, Calculus

### Find derivative of sinx using first principle?

The derivative of sin(x) is cos(x).

Read More

###### Asked in Calculus

### What is the anti-derivative of co secant x?

The anti-derivative of cscx is secx.

Read More

###### Asked in Math and Arithmetic, Trigonometry

### How do you simplify csc theta cot theta?

There are 6 basic trig functions.
sin(x) = 1/csc(x)
cos(x) = 1/sec(x)
tan(x) = sin(x)/cos(x) or 1/cot(x)
csc(x) = 1/sin(x)
sec(x) = 1/cos(x)
cot(x) = cos(x)/sin(x) or 1/tan(x)
---- In your problem csc(x)*cot(x) we can simplify csc(x).
csc(x) = 1/sin(x)
Similarly, cot(x) = cos(x)/sin(x).
csc(x)*cot(x) = (1/sin[x])*(cos[x]/sin[x])
= cos(x)/sin2(x) = cos(x) * 1/sin2(x)
Either of the above answers should work.
In general, try converting your trig functions into sine and
cosine to make things simpler.
...

Read More

###### Asked in Math and Arithmetic, Mechanical Engineering, Electrical Engineering

### Derivative of cosx?

The derivative of cos(x) is negative
sin(x). Also, the derivative of sin(x) is cos(x).
...

Read More

###### Asked in Math and Arithmetic, Calculus, Trigonometry

### Write the expression in terms of sine and cosine and simplify so that no quotients appear in the final expression. cscx(sinx plus cosx)?

csc(x)*{sin(x) + cos(x)} = csc(x)*sin(x) + csc(x)*cos(x)
=1/sin*(x)*sin(x) + 1/sin(x)*cos(x) = 1 + cot(x)
...

Read More

###### Asked in Math and Arithmetic, Algebra, Trigonometry

### How do you solve csc x sin x equals cos x cot x plus?

Suppose csc(x)*sin(x) = cos(x)*cot(x) + y
then, ince csc(x) = 1/sin(x), and cot(x) = cos(x)/sin(x),
1 = cos(x)*cos(x)/sin(x) + y
so y = 1 - cos2(x)/sin(x) = 1 - [1 - sin2(x)]/sin(x) = [sin2(x)
+ sin(x) - 1]/sin(x)
...

Read More

###### Asked in Calculus

### What is the 87th derivative of sin x?

The 1st derivative of the sin is cos; the 2nd is -sin; 3rd is
-cos; 4th is sin; then repeats every fourth time. So 84 th is the
sin; 85th cos; 86th -sin; and 87th derivative is -cos
...

Read More

###### Asked in Calculus

### What is the Derivative of sine ex?

The derivative of sin (x) is cos (x). It does not work the other
way around, though. The derivative of cos (x) is -sin (x).
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### What is the derivative of cos x sin x divided by cos x sin x?

(cos x sin x) / (cos x sin x) = 1. The derivative of a constant,
such as 1, is zero.
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### When does cos x equal -sin x?

The derivative of cos(x) equals -sin(x); therefore, the
anti-derivative of -sin(x) equals cos(x).
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you differentiate sin sin x?

To differentiate y=sin(sin(x)) you need to use the chain
rule.
A common way to remember the chain rule is "derivative of the
outside, keep the inside, derivative of the inside".
First, you take the derivative of the outside. The derivative of
sin is cos.
Then, you keep the inside, so you keep sin(x).
Then, you multiple by the derivative of the inside. Again, the
derivative of sinx is cosx.
In the end, you get y'=cos(sin(x))cos(x))
...

Read More

###### Asked in Calculus, Math and Arithmetic

### What is the derivative of 3tanx-4cscx?

d/dx tan x = sec2x
d/dx csc x = -csc x cot x
f(x)= 3tan x - 4csc x
f'(x)= 3sec2x - 4(-csc x cot x)
...

Read More

###### Asked in Calculus, Trigonometry

### Solution for tan x plus cot x divided by sec x csc x?

(tan x + cot x)/sec x . csc x
The key to solve this question is to turn tan x, cot x, sec x,
csc x into the simpler form.
Remember that tan x = sin x / cos x, cot x = 1/tan x, sec x =
1/cos x, csc x = 1/sin x
The solution is:
[(sin x / cos x)+(cos x / sin x)] / (1/cos x . 1/sin x)
[(sin x . sin x + cos x ....

Read More

###### Asked in Math and Arithmetic, Trigonometry

### What is the answer of csc x plus cot x?

Without an "equals" sign somewhere, no question has been
asked,
so there's nothing there that needs an answer.
Is it the sum that you're looking for ?
csc(x) + cot(x) = 1/sin(x) + cos(x)/sin(x) = [1 + cos(x)] /
sin(x)
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### Find the derivative y equals 10 to the sin3x power?

Y=10^sin(x)
The derivative is:
(log(5)+log(2))*cos(x)*2^sin(x)*5^sin(x)
Use the chain rule, product rule, and power rules combined with
sin(x) rule.
...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### What is the derivative of sqrt sin x?

0.5*cos(x)/sqrt(sin(x))

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### How do you find the derivative of y equals sin8x?

Derivative of sin x = cos x, so chain rule to derive 8x = 8 ,
answer is 8cos8x
...

Read More

###### Asked in Math and Arithmetic

### What is the second derivitive of sec x?

Write sec x as a function of sines and cosines (in this case,
sec x = 1 / cos x). Then use the division formula to take the first
derivative. Take the derivative of the first derivative to get the
second derivative. Reminder: the derivative of sin x is cos x; the
derivative of cos x is - sin x.
...

Read More

###### Asked in Math and Arithmetic, Calculus

### What is the derivative of sinx pwr cosx?

For the function:
y = sin(x)cos(x)
To find the derivative y', implicit differentiation must be
used. To do this, both sides of the equation must be put into the
argument of a natural logarithm:
ln(y) = ln(sin(x)cos(x))
by the properties of logarithms, this can also be expressed
as:
ln(y) = cos(x)ln(sin(x))
deriving both sides of the equation yields:
(1/y)(y') = cos(x)(1/sin(x))(cos(x)) + -sin(x)ln(sin(x))
This derivative features two important things. The obvious thing
is the product rule use to differentiate the right side of the
equation. The left side...

Read More

###### Asked in Math and Arithmetic, Algebra, Calculus

### What is the anti-derivative of secant squared?

negative cotangent -- dcot(x)/dx=-csc^2(x)

Read More