Given f(-6)= 18, f'(-6) = -16, g(-6) = -10, and g' (-6) = 14, find the value of h' (-6) based on the function h(x) = f(x) g(x) Round to two decimal places, if necessary.

Q: If f(x) = 5x² – 2e*, find f '(x).

A: Given that  f(x) = 5x2 - 2ex  We need to find f'(x) and f"(x) . Now , f(x) = 5x2 - 2ex  So,   f'(x)…

Q: h(w) = -9w-8 +16/w

A:

Q: f(x)=7x8−8x+3 Find the derivative of each of the given functions.

A: The sum rule of the differentiation states that, ddxf+g=ddxf+ddxg the power rule of the…

Q: Calculate f""(−1) for f (x) = 3x5 − 2x2 + 7x−2.

A:

Q: Given g(x) 4 2-4' g(-2+h)-g(-2) h evaluate and simplify:

A:

Q: Suppose that the function P (x) represents the profit of a company (in dollars) when x units are…

A:

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

A:

Q: 4. f (x) = ex²-2

A: Differentiatefx=ex2−2

Q: Calculate derivative F(x) = (7-10x) (7+10x) by expanding or simplifying the function df/dx

A:

Q: Find f"(x). f(x) = (x? +7) °

A:

Q: Evaluate the second derivative of the function at the given point. Use a computer algebra system to…

A:

Q: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

A: The value of China's exports of automobiles and parts (in billions of dollars) is approximately…

Q: F(x) = (3x- 1°C2+ - 235

A: Solution:

Q: Graph the first and second derivatives of the given function: f(x)= x3+ 2 x2 - 3x

A:

Q: f(x)=x2+2x-1 g(x)= -500/x, x ≠0 k(x)= |x-2| For each function, do the following: Graph the…

A: a) fx=x2+2x+1 Now, f'x=2x+2 Graph is,

Q: Differentiate the function G(x) = 7x7 +5x-⁹.

A: Introduction: Apart from integration, divergence is among the two key ideas of calculus. A technique…

Q: If f(x)f(x) is the slope of a trail at a distance xx miles from the start of the trail, what does…

A: If f(x) is the slope of a trail at a distance x miles from the start of the trail, what does…

Q: Find y as a function of tif with y(0)=6, y(0) = 7. Y 400g"-729y=0

A: Given Differential Equation Given y is a function of t