Question

Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using the definition of...

Show that the derivative of f(x) = 6+4x^2 is f' (x)=8x by using the definition of the derivative as the limit of a difference quotient.

Homework Answers

Answer #1

Note: for any query or explanation in any step kindly mention it in the comment section. I will assist you as soon as possible ?

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative....
Consider f(x) = x2 – 8x. Find its derivative using the limit definition of the derivative. Simplify all steps.     a. Find f(x + h).   ____________     b. Find f(x + h) – f(x).   ____________     c. Find [f(x + h) – f(x)] ÷ h.   ____________   d. Find lim (hà0) [f(x + h) – f(x)] ÷ h.   ____________     e. Find an equation of the line tangent to the graph of y = x2 – 8x where x = -3. Present your answer...
10. (6pts.) Show that the derivative of f(x) = 1 + 8x^ 2 is f ‘(x)...
10. (6pts.) Show that the derivative of f(x) = 1 + 8x^ 2 is f ‘(x) = 16x by using the definition of the derivative as the limit of a difference quotient. 11. (5pts.) If the area A = s^ 2 of an expanding square is increasing at the constant rate of 4 square inches per second, how fast is the length s of the sides increasing when the area is 16 square inches? 12. (5pts.) Find the intervals where...
Use the definition of the derivative to show that f(x) = |x^2 – 9| is not...
Use the definition of the derivative to show that f(x) = |x^2 – 9| is not differentiable at x = 3
use the definition of derivative to find the derivative of f(x)= 2*sqrt(x-7) show work please.
use the definition of derivative to find the derivative of f(x)= 2*sqrt(x-7) show work please.
Please Find: f(x)=x2+2 1) The derivative of f(x) using the limit definition: 2) The instantaneous rate...
Please Find: f(x)=x2+2 1) The derivative of f(x) using the limit definition: 2) The instantaneous rate of change at x=3: 3) The equation of the tangent line at x=3: Please write out all the steps clearly.
Please Find: f(x)=x2+2 1) The derivative of f(x) using the limit definition: 2) The instantaneous rate...
Please Find: f(x)=x2+2 1) The derivative of f(x) using the limit definition: 2) The instantaneous rate of change at x=3: 3) The equation of the tangent line at x=3: Please write out all the steps clearly.
Using the definition of the derivative, find f'(x). let f(x) = x^2/x+1
Using the definition of the derivative, find f'(x). let f(x) = x^2/x+1
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f....
Consider the function f(x) = (8x^3-4x)^3 (a) Find the derivative (b) Find critical numbers of f. (Hint there are 5 critical numbers) Round your answers to three decimals. (c) Fill out the sign chart for the derivative below. Please label the axis as appropriate for your critical numbers. (d) What are the relative max(es) and min() of f?
Find the derivative of the function using the definition of derivative. f(x) = 1 5 x...
Find the derivative of the function using the definition of derivative. f(x) = 1 5 x − 1 6 f '(x) = B, f(x) = 2.5x2 − x + 4.8 f '(x) = C, f(x) = 3x4 f '(x) = D, If f(t) = 3 t and a ≠ 0 , find f '(a). f '(a) =
State (precisely) the limit definition for the derivative of an arbitrary function f(x) at the point...
State (precisely) the limit definition for the derivative of an arbitrary function f(x) at the point x0. Use the limit definition to compute the derivative of the following function:     f(x) = 1/x^2