# Calculus

Find the derivative of f 0f x.

f(x) = x^2 - 8x - 17 at x = 4

1. 👍
2. 👎
3. 👁
1. First you try it
Use the general idea that
d/dx x^n = n x^(n-1)

for example

d/dx x^16 = 16 x^15

to evaluate that at x = 1
16 1^15 = 16

1. 👍
2. 👎
2. WHAT?

1. 👍
2. 👎
3. I am trying to say try to do it yourself first. That is the rule for differentiating powers of x.

1. 👍
2. 👎

## Similar Questions

1. ### calculus

Find the derivative of the function using the definition of derivative. g(t)= 9/sqrt(t) g'(t)= state the domain of the function and the domain of the derivative (use interval notation)

2. ### Calc I

if f(t)=sqrt(4t+1) find f''(2) I got the first derivative to be: 1/2(4t-1)^-1/2 * 4t^3 and i'm trying to figure out if i need the product rule again to find the second derivative -1t^3(4t-1)^-3/2 * 4t^3 The answer if -4/27 and I'm

3. ### calculus

Let F(x)= the integral from 0 to 2x of tan(t^2) dt. Use your calculator to find F″(1) By applying the fundamental theorem of calculus, I got the derivative of the integral (F'(x)) to be 2tan(2x^2) When I take the derivative to

4. ### Calculus

Given the function: f(x) = x^2 + 1 / x^2 - 9 a)find y and x intercepts b) find the first derivative c) find any critical values d) find any local(relative) extrema e) find second derivative f) discuss the concavity g) find any

1. ### Calculus

If x = t^2 + 1 and y = t^3, then d^2y/dx^2 = I know I can solve for t in terms of x and substitute that into y = t^3 and find the double derivative. I also know that I can take the derivative of x and y then divide dy/dt by dx/dt.

2. ### inverse

If f(x)=cosx + 3 how do I find f inverse(1)? Thanks y = cos(x) + 3 the inverse of this is x = cos(y) + 3 solve for y and you have your inverse The cos function only has a range of [-1,1], so the range of f(x) is [2,4]. this means

3. ### Calculus

Both x and y denote functions of t that are related by the given equation. Use this equation and the given derivative information to find the specified derivative. Equation:35x^2+20y^2=1 Given that dx/dt=4, find dy/dt when

4. ### math

For what intervals is g(x) = 1/x2 + 1 concave down? (Enter your answer using interval notation.) For this question I understand that we have to find where the second derivative is negative. So first I found the first derivative

1. ### Calculus?

1. Find dr/d θ for cosr-cot θ=e^-r θ 2. Find the normal equation to the curve xy +2x-y=0 that are parallel to the line -4x - 2y = 10. I know for this I'd have to find the derivative of the curve given. If I rearrange the

2. ### math

find derivative using limit definition: f(x) = x - sqrt(x) so f'(x) = lim h->0 [f(x+h) - f(x)]/h but I keep trying to solve by multiplying by the conjugate but I can't figure it out..there's nothing that can be cancelled or

3. ### Math

Consider the following where s is in feet and t is in seconds. s(t) = t^3 + 4t^2 + 6t + 4 (a) Find v(t). v(t) = (b) Find a(t). a(t) = (c) Find v(3). (d) Find a(3). v(t) is the first derivative of s(t). a(t) is the second

4. ### Math(Please check)

Find the derivative of f(x)=7x-19 at x=2. I think that the derivative would be 7 and theb times 2 so 14. Is this correct or would it just be 7.