Calculus Show that the difference quotient for f(x) = sin x is given by f(x + h) – f(x) sin (x + h) – sin x h h sin h = cos x. h 1 - cos h sin x • h

Q: If f(x) = sin x, show that f(x + h) – f(x) = sin x cos h – 1 sin h + cos X h h

A:

Q: tan x - dx 2 sec x – tan x 2.

A: Topic:- integration

Q: Explain how to transform sin x into the function f(x) = -sin x. 4

A: To transform the function sin(x) into the function f(x) =-14sin x, we can apply a vertical stretch…

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: What is the range of 3 sin(4x + II)+ 2 ? O -3, 2] O (-3, 3] O -1, 5] O (-1, 3]

A:

Q: Part D

A:

Q: What is the type of function for f(x)=x'+sin(5x). O Even function Odd function Neither function

A: The given function is  f(x)=x3+sin(5x) ....(1) And are asking to check whether f(x) is even , odd…