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: 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: Differentiate the function f(v): f' (v) = = V2

A:

Q: Q2// A – If y = tan-1(-1), find the value of y without use Calculator. B- Find the Domain, Range and…

A: To find Value of y if y=tan-11And  to graph y=2cos(x-π3)

Q: Finel the first, second-order derivative (f'(x!) and! find the slope at the given point X * fx) =…

A: Given : f(x)=sin(2x)-tan(2x) Take first derivative, apply chain rule f'(x)=cos2x· 2-sec22x·…

Q: For the following function, describe the concavity and find relative extrem using the concavity test…

A:

Q: AJ Find the derivative of the function: In(tan(sinx) + secx).

A:

Q: Find the critical point of the function f(x) = 3x² – 12x Answer:

A: We will find out all the required values.

Q: If f(x) = 5 sec (3x), find f'(x). 15 sec (3x) tan (3x) Find f'(3).

A: We are given that f(x)=5 sec(3x)From the first part, we get f'(x)= 15 sec(3x) tan(3x)Now, we need to…

Q: Let f(x) = sin (1- 6x*) + (1- Vx). Find f'(x). %3D

A:

Q: If f(x) = = √2x+6, find f'(x). Find f'(2).

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: y = csc (x’ + 10x), Find dy/dx O (7x6 + 10) csc (x7 + 10x) cot (x7 + 10x)

A: Given: y=cscx7+10x

Q: Given: f(x) = 3x-2 Find: f'(x)

A: Find your answer below

Q: Differentiate the function L(x) = -6e"(cscx + 7cotx). Answer L'(x) =

A: Given Equation : L(x)=−6ex(csc(x)+7cot(x))   L'(x)= derivative of L(x)

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: Find the derivatives of the following: 1.) x* + 2y = 6x 2.) f(x) = (tan 5x) (x + 2)²

A:

Q: A forest has a population of lynx and a population of rabbits. Let a represent the number of lynx…

A: Solution: x'=dxdt=-0.25x+y  .....1y'=dydt=-x+4y  .....2B.C.S: x0=0 and  y0=1From equation 1  and 2…

Q: f(x) = sin (cot (secx))

A: The objective of the question is to understand the function f(x) = sin (cot (sec x)). This is a…

Q: Plot the following function 0 <x< T sin(x) f(x) = } -0.81x2 + 7.64x – 16 π<x< 2π -1.62x2 + 25.46x –…

A:

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

A:

Q: cos2x – sin2x cos2x For -dr=-F(x)+C What is F(x)? Cosx - sinx 2 3 2 sinx + -cosx+ cosx + - sin³x 3 3…

A:

Q: Estimate f(5.03) for f as in the figure. y=f(x) (10, 4) Tangent line (4, 2) (Give your answer to…

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

A: