find f'(a)
f(x) = sqrt(2 − 2x)

This is calculus. I'll give a medal please! show your work please so I can understand

Question

find f'(a)
f(x) = sqrt(2 − 2x)

This is calculus. I'll give a medal please! show your work please so I can understand

anonymous · Answer

The derivative of a sum is the sum of the derivatives. The derivative of a constant is 0. The derivative of a function times a constant multiple is that multiple times the derivative of the function. The derivative of x^n w.r.t. x is nx^(n-1). These are the properties you should use.

anonymous · Answer

of course!

anonymous · Answer

so you could begin by using the difference quotient, correct?

anonymous · Answer

how did you derive f prime of x here?

anonymous · Answer

hm, but I am confused.. I see you wrote f(x) in exponential form, but I don't know why you have multiplied it by 1/2 and by -2?  I must've missed something in your steps.

anonymous · Answer

Power rule and chain rule.
d/du u^(1/2) = 1/2 u^(-1/2)
d/dx (2 - 2x) = -2

anonymous · Answer

But my class hasn't gotten to this topic yet. Is there any other why to solve it?

anonymous · Answer

Um, rude. Just seeking help, most we've done is find tangent lines for given points.