Question

I need some major help, who wants a challenge?

Find the number a, based on the following information.

f(x) = x^6

f'(a)= -1458

Answer 1

a= what?

Answer 2

\[-208 x^7\]

Answer 3

What is the derivative of f(x)? Find that and set it equal to f'(a) and solve!

Answer 4

-3

Answer 5

-3 either. .

Answer 6

-3 is the correct answer.

Answer 7

so the derivitive is what? how do I find that?

Answer 8

f(x)=2x^2= 2x right?

Answer 9

so f(x)= rx^r-1 is the formula you use to get the answer?

Answer 10

The derivative is a function that tells you the slope of a function at any point x on the other function. So suppose you have f(x) and f'(x), a function and its derivative. So if you plug in a value to the function f'(x) it tells you the the slope of a a point on f(x).

Yes, paunic, that is the formula, and it is called the power rule.

Answer 11

ok thanks!

Answer 12

to find the derivative, use the formula.