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You use the same power formula which you use for other powers of x, so the derivate is (1/2)x-1/2. This is the same as 1 / (2 times square root of x).
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What is the derivative of sinπx?
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
What does the derivative graph mean?
I am assuming the you are talking about the graph of the derivative. The graph of the derivative of F(x) is the graph such that, for any x, the value of x on the graph of the derivative of F(x) is the slope at point x in F(x).
What is the Derivative of 500 ln x plus 1?
the derivative of ln x = x'/x; the derivative of 1 is 0 so the answer is 500(1/x)+0 = 500/x
What is the derivative of tan x?
The derivative of tan(x) is sec2(x).(Which is the same as 1/cos2(x).
What is the derivative of one over x?
1/x = x-1d/dx(x-1) = -x-2 = -1/x2
What is the first derivative of e raised to the power of x?
The first derivative of e to the x power is e to the power of x.
How do you get the derivative of a square root?
The square root of x = x to the power of a half
What is the derivative of pi squared raised to the x?
f(x)=(pi2)x=pi2x. The derivative of kx=ln(k)*kx, so f'(x)=2ln(pi)*pi2x (with chain rule).
What is the derivative of pi raised to x?
y=x^pid/dx=pi*(x^pi-1)This is true because of power rule.d/dx (x^a)=a(x^(a-1))
What is the anti derivative of -x?
-(1/2)X^2 [negative half X squared]
What is the derivative of the square root of 2 raised to the power of cos x?
The derivative of 2^x is 2^x * ln2 so the derivative of 2^cosx * ln2 multiplied by d/dx of cox, which is -sinx so the derivative of the inside function is -sinx * 2^cosx *ln2. As to the final question, using the chain rule, d/dx (2^cosx)^0.5 will equal half of (2^cosx)^-0.5 * -sinx * 2^cosx * ln2
What is the derivative of x?
The derivative is 2x based on the power rule. Multiply the power by the coefficient of x then drop the power by one.
What is the derivative of the square root of one minus x squared?
The derivative, with respect to x, is -x/sqrt(1-x2)
What is the derivative of 2lnx?
The derivative of ln x is 1/x The derivative of 2ln x is 2(1/x) = 2/x
Derivative of cosx?
The derivative of cos(x) is negative sin(x). Also, the derivative of sin(x) is cos(x).
What is the derivative of sinπx?
The derivative with respect to 'x' of sin(pi x) ispi cos(pi x)
What is the derivative of csc x?
The derivative of csc(x) is -cot(x)csc(x).
