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I'll get you started. Using the definition of the derivative:
For f(x) = xsinx this gives:
Recall that
From here you should be able to finish it out. Post back if you're still having difficulties.
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How do you find the derivative of y equals 7e-6x?
13
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
Why do you use chain rule?
Chain Rule You can use the chain rule to find the derivative of the composite of two functions--the derivative of the "outside" function multiplied by the derivative of the "inside" function. The chain rule is related to the product rule and the quotient rule, which gives the derivative of the quotient of two functions.If you want example problems about the chain rule you should check out the related links!Hope this answers your question!
Why the derivative is set equal to zero?
The first derivative is set to zero to find the critical points of the function. A critical point can be a minimum, maximum, or a saddle point. There's a reason for this. Suppose a differentiable function f:R->R has a maximum at x=a. Then the function goes down to the right of a, which means f'(a)
To find critical points?
Take the derivative of the function and set it equal to zero. The solution(s) are your critical points.
Find derivative of sinx using first principle?
The derivative of sin(x) is cos(x).
How do you find the second derivative?
Afetr you take the first derivative you take it again Example y = x^2 dy/dx = 2x ( first derivative) d2y/dx2 = 2 ( second derivative)
How do you find second derivative of a function?
All it means to take the second derivative is to take the derivative of a function twice. For example, say you start with the function y=x2+2x The first derivative would be 2x+2 But when you take the derivative the first derivative you get the second derivative which would be 2
Where the graph of a function equals the value zero?
you have to first find the derivative of the original function. You then make the derivative equal to zero and solve for x.
How do you find the ponts of inflexion on a curve?
At the point of inflexion:the first derivative must be zero. the second derivative must be zero, if the next derivative is zero then the one following that must also be zero.
Derivative of 1 plus cos2x?
First find the derivative of each term. The derivative of any constant is zero, so d(1)/dx=0. To find the derivative of cos2x, use the chain rule. d(cos2x)/dx=-sin(2x)(2)=-2sin(2x) So the answer is 0-2sinx, or simply -2sinx
Formulae in derivative?
You will find several formulae in the Wikipedia article on "derivative".
What does the derivative at a point mean?
The derivative at any point in a curve is equal to the slope of the line tangent to the curve at that point. Doing it in terms of the actual expression of the curve, find the derivative of the curve, then plug the x-value of the point into the derivative to find the derivative at that point.
How do you find the mean of x over y equals a over b?
Find the derivative of Y and then divide that by the derivative of A
How do you find the minimum and maximum points of a function?
Set the first derivative of the function equal to zero, and solve for the variable.
How do you find the derivative of x4?
The derivative of x^n is nx^(n-1) any n. The derivative of x^4 is 4x^3.
What is the purpose of finding derivative?
The purpose of finding a derivative is to find the instantaneous rate of change. In addition, taking the derivative is used in integration by parts.
