Differentiate the function: f(x) = x secx Select one: a. f'(x) = 3x2 • secx + x · sec x • tan x f'(x) = 3x² · secx tan x b. с. f'(x) = 3x2 · sec x + x³ · sec² x %3D O d. .3 f'(x) = 3x? • sec x - x° • sec x · tan x

Q: If f(x): ƒ'(x) = f'(5)= = 7x² + 2x + 5 √x " then:

A: Given: It is given that the function is fx=7x2+2x+5x. To find: The main aim is to find the…

Q: Differentiate. f(w) 1 + sec(w) 1 - sec(w)

A:

Q: f cas =VX (6+5x) fasela

A: We find the anti derivative of given function using integration.

Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: 5. Let f(x) = sin x cos x a) Determine the first derivative, and the second derivative. b) What is…

A: fx=sinxcosx

Q: Help Given f"(x) = 8x - 2 and f'(- 2) = - 2 and f( - 2) = 3. %3D %3D Find f'(x) = %3D and find f(3)

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Q: y= (1+ tan ()

A:

Q: Find the interval where the function is concave up. Find the interval where the function is concave…

A: for concave up  f"(x) >0 and for concave down f"(x) <0

Q: Identify the plot below that represents a function f(x) that satisfies the following conditions:…

A:

Q: 9) Use the second Derivative Test to find all relative extrema. f( x) = - (x + 2)°(x – 4)?

A: Find f'(x) and solve for x by putting f'(x)=0.

Q: Find f ° g ° h when:  f(x)= 1/x     g(x)=x^2.    h(x)=x^3+2 You do not need to simplify your…

A: Topic  =Functions

Q: Apply the Second-Derivative Test to find all relative extrema of the function  f(x)=cosx-x ,…

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Q: If f(x) ƒ'(x) = ƒ'(1) = = 4x + 5 7x + 2 " find:

A:

Q: Let h(x) = tan(2x + 8). Then h'(3) is and h''(3) is

A: This question is about application of derivative

Q: Let r(x) = f(g(h(x))), where h(1) = 5, g(5) = 2, h'(1) = 8, g/(5) = -2, and f'(2) = 5. Find r'(1).…

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Q: If f(x) f'(x) = f'(4) = = 3x + 5 52+6 " find:

A: