7) Let f(x) be a function such that f(1) x E [1,6]. Find how small can f (6) possibly be? Explain. 10 and f'(x) > 3 for all

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y…

A:

Q: If f(x) = (x + 1)²(x+2), find f'(0)

A:

Q: . Differentiate the function using product rule. f(x) = e*(e* + sin x + x²)

A: Given : fx = exex+sinx+x2

Q: et f and g denote differentiable functions. If f'(x) = g (x), then f(x) = g(x).

A:

Q: Need help with number 2

A: we have to differentiate two times of f(x) ,where f(x) is given by

Q: f'(z) = lim Δz-10 f(z + Δz) – f(z) Δz

A:

Q: if f(1) = 10 and f'(x) = 2 for 1≤ x ≤4, how small can f (4) possibly be?

A:

Q: fünction and its graph are given. f(x) = x3 + 3x² 3 16х — 20 %3D y 100 50 - 10 -5 -50 (a) From the…

A: To find the properties of f'(x) and f"(x) from the graph of the function.

Q: The graph of f'(x) is given below for x E[-5, 5]. On which interval(s) is the function f(x) both…

A:

Q: The domain and range of function g(z)= 1-/x.11

A:

Q: (3, -13. -mplete the following statements. x) > 0 on the interval(s) x) 0 on the interval(s)

A: Solution of the problem as follows

Q: Composites of Functions

A: As per company guidelines, I can solve only first three subpart.

Q: Assuming f of g = 1/x + 1 and if g(x) is x +1. Find f(x)

A:

Q: Consider the graph of the function f(x) = x*. Which change in the function rule will translate f (x)…

A: topic- transformationof a function

Q: f'. 17. Use the graph of f' shown to graph f" and a possible graph of f. 4 6

A:

Q: Identify a function f that has the given characteristics. f(–5) = f(2) = 0;  f '(-1.5) = 0,  f '(x)…

A:

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

A:

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

A:

Q: Find f such that f'(x)=x²-6 and f(0) = 8.

A: The given data is: f'x=x2-6 and f0=8 To find the value of fx.

Q: If g' (x) = Ofor all values of x in the interval (a, b), then g is a constant function. True False

A: