How do you find the derivative of f(x)=1-2x^2f(x)=12x2?

1 Answer
Jun 16, 2017

d/dx=-4xddx=4x

Explanation:

We find the derivative using the power rule:

d/dxx^n=nx^(n-1)ddxxn=nxn1

Simply to put it into words bring down the exponent and multiply it by the n (n in our case is equal to 22) and subtract 1 from the exponent.

The derivative of a constant is always zero:

d/dxc=0ddxc=0

Knowing this we can now move forward:

f'(x)=d/dx1-d/dx2x^2

f'(x)=0-2(2)x^(2-1)

f'(x)=-4x