Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

Q: Use derivatives to sketch the graph of f(x) = (x² – 8x + 16)e².

A: Given

Q: Use the graph of f(x) = 1/x2 to graph g(x) = 1/(x - 2)2 + 1.

A: fx=1x2, gx=1x-22+1 Now the graph of fx=1x2 is,

Q: F(x) = (3x- 1°C2+ - 235

A: Solution:

Q: Let P(t) = 100(1.025)' be the estimated population of wolves in a provincial park and S(t) = 200 +…

A:

Q: Let f(x)= 2/x-3. Let g(x)= 5/x+2. Determine (f/g)(x)

A: See the attached file

Q: Find f(x) if F(x) = (1-ex)U(x-c).

A: Finding the pdf from the given cdf of X.

Q: Find the general form of f if f'(x)= -7f(x).

A:

Q: Find f′(x) for the function: (a) ​f(x)= 3w^9-7w/5w (b) f(x)= 3x-5/x-5

A: (b). According to the question, we have to find f'x for the function fx=3x-5x-5. The derivative of a…

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…

Q: Find the general form of f if f'(x) = 10f(x).

A:

Q: find the derivative  f(x)=x2(x3-1)

A: Apply the product rule and obtain the derivative of the given function.