sin (x) Since tan (x) = use the Quotient Rule to explain why Veft ( tan (x))=sec (x) dx %3D cos (x) For the toolbar. press ALT-F10 (PC) or ALT+FN+F10 (Mac).

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: Find f'(x) if f (x) = (2x – e2x)sin(2x).

A:

Q: 2tanx/1-tanx = 2/cotx-tanx

A: Consider the given trigonometric expression 2 tanx1-tan2x=2cot x-tan x

Q: 3/Describe using words the transformations that can be applied (in order) to the parent function to…

A:

Q: approximate sin(x) with case 1 1 case2 x case3 x^3 in two ranges (-1,1)

A: By using taylor series  sinx =x-x33!+x55!........

Q: f(x)= 2 sin x / 2 + cos x Find f’(x)= Simplify your answer. (Quotient Rule) Please explain it step…

A: Given query is to find the derivative of the function.

Q: Let f (x) = sin-1(cosvx). Find f'(x).

A:

Q: cos(4x) cos(2x) sin(4x) sec(2x) 12. Verify: - sin(2x)

A: cos(2x ) =cos2(x)-sin2(x) = 2cos2(x)-1 =1-2sin2(x) sin(2x) = 2sin(x) cos(x)

Q: If f(x) = e cosT, the second derivative f"(x) is:

A: The given function is fx=ex cosx. Evaluate the first derivative of the given function as follows.…

Q: b) Differentiate the function below with respect to x. f(x) = (2+3x) sin (8 + 2x) Note: In Text mode…

A: The given function is f(x)=-2+3xsin8+2x. To Find: Derivative of above function.

Q: Find the second derivative of f(x) = 9 sin (2x). Enclose arguments of functions in parentheses. For…

A: On solving this we will get

Q: g(x) = tan(sin²(x)) + e², +e?

A:

Q: f(x) = 2 tan x Ꮖ

A: f(x)=2tan⁡xx

Q: Let f(x) = 3 cos(x) sin¬(x). Find f' (x). f'(x) =

A:

Q: Plot the function f(x) = sin(x)cos(2x) and its derivative, both on the same plot, for 0<x<2n. Plot…

A: Given f(x) =sin2(x)cos(2x)⇒f'(x) =2sin(x)cos(x)cos(2x)-2sin2(x)sin(2x)

Q: cosx sec? x + cos x csc csc? x csc? x secx cos? x cos x cos x E f(x)dx _ 2 1. If f(x) 1 , then

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…

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Q: Find the derivative: y X Lanx+ 4 COSA x4+ sinx cosx + In 59x

A: Solve the following

Q: Evaluate tan° (x) sec* (x)dx in the two different ways indicated.

A:

Q: what is x when 16(200/79.2)^2(tan(x))^2-400tan(x)+7+16(200/79.2)^2=0

A: Consider the given equation and make suitable substitution as follows.

Q: f(secx tan² x) dx

A: