For the above function f(x) = 5.0.7², estimate f'(x) using h = 0.001 for the following three values.

Q: Given that h"(w) = -34. State the function that best describes h'(w). O a. h'(w) = -34w O b. h'(x) =…

A: Use the concept of power rule of derivative and select the option form given.

Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

A:

Q: h(x)=25x .52x-1 find the first derivative of the function h

A: The function is given as hx=25x·52x-1 Consider the function y=25x·52x-1 We can write the above…

Q: Use the following information to determine an equation for f(x): f"(x)= 6, f '(0) = 4, and f(0) =-5.

A:

Q: Differentiate the function. g'(x) = g(x) = 2x² - 6x - 6x + 15 5

A: To differentiate the following function.

Q: Given f(x)=−5tanx, fill in the blank with the derivative of the function.

A: Given the function  f(x) = -5tanx  we need to find it's derivative   As we know that the derivative…

Q: Given the function f(x) = 3cos(x/2), find the relative extrema on the interval (pi, 7pi) using the…

A: Given that: f(x)=3.cosx2       in (π, 7π)

Q: y = 522 Find the Derivative - d/dx

A: we have to find the derivative of the following

Q: If t(x)=5(9^x), find t′(x).

A: