3. Let fx) = {ax), whire a function. sadafferentiable 10 94x) 1t xa aa glx) and a'cx) Lalwlate the derirative of F fn terms of g4).

Q: 6. Let y = f(x) be a function that is differentiable at all real numbers. Suppose f has the form:…

A: given  f(x)=cx2-b  if x≤4-2x+c  if x>4given  f(x) is differentiable at all point

Q: For the function f(x)=√x+3 ifx<2 2x-3 ifx22 evaluate the following: ,

A: Function f(x) is two different value of different value of x

Q: 19. Show that f(x) = x² + 1 is not one-to-one, using values of f (not the horizontal line test).

A: To show: The function fx=x2+1 is not one to one. Concept used: The function is one to one is and…

Q: 6)Let f ( x ) = x4 + x3 - 3x2 + 1 a)Find all the hypercritical values. b)Determine the intervals…

A: The given function is f(x) = x4+x3-3x2+1 ............................ (1) We have to a)Find all the…

Q: 4. Let f-(x) = g(x) = x-5, k-1(10) + 7 = 10 and h(x) = then find: b. Domain of h(x). c. (hof)(2). (Z…

A:

Q: 10. Differentiate each function. a) y= -3x² + 4x- 5 b) f(x)=6x-1- 5x-2 ) flx)= 4\x d) y= (3x² –…

A:

Q: Use the linut definition to Compute f(x) when f)-at. the derivative f(x) when f)-2+L

A:

Q: 3. Is the function given by (x²-4x-5, x<5 F(x)= x+1, x25 continuous at x = 52 why or why not ?

A: Given function, f(x)=x2-4x-5;x-5;x&lt;5x+1;x≥5; The objective is to tell whether the function is…

Q: 15. For f (x) = x ^ 3 -12x + 10 the interval where f (x) is concave downward is: A. (0, ) b. (-00,…

A:

Q: Let f(x) = 2x³ +1. a) Find f(x + h): b) Find f(x + h) – f(x): c) Find fe+h)-f(x). d) Find f'(x):

A: