FIND THE DERIVATIVE Of THE GIveM. FUMCTIC 3.) f(x) = Logio( ) %3D 8.) g= arccose-* 9.): y = qsin? x 2

Q: What is the derivative of y = cos² x?

A: According to the chain rule of differentiation:

Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

A:

Q: If F is a derivative function, obtain the derivative of the function u(x) = (F(x))² in terms of F…

A: given u(x)=4x2-12u(x)=F(x)2to find derivative of u(x)

Q: 5. y = xArcsinx + v1- x² a. Arcsin (x) b. Arctan (x) c. Arccsc (x) d. Arcsec (x)

A:

Q: 6. Find the derivatives of each function. a)f(x) = 3x4 – 4x² – 250 %3D b) g(x) = x/2 – x-1/2 %3D sin…

A:

Q: Find the derivative of the function. y= 2x°e* Which of the following shows how to find the…

A: Topic :- Derivative Correct option :- D

Q: Evaluate the derivatives. Do not simplify. (a) ey - y² = ln x tanz (b) y = (secx)*

A:

Q: 17. Find the first derivative for J(x)=tan0x sec0

A:

Q: take the derivative. f(x) = 4cos x + Vx %3D

A: Consider the function: fx=4cos x+x. Take the derivative applying ax+bx'=a'x+b'x. Therefore, f'x=4cos…

Q: Simplify the function, then find the derivative. f(x) = ln (x√x² - 1)

A: Given:We are required to find:

Q: 4. y = sin 2x 1-cos 2x

A: We have to find the derivative of

Q: 2. Find the derivative. a. y = sin x

A:

Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: Find y" by implicit differentiation. Simplify where possible. x² + 6y² = 6 ||

A:

Q: Let yu + 3v+7 =2. Complete parts (a) through (c) below. du (a) Find the derivative dv du dy

A: Note: As part (a) is only attached solved that for you.

Q: Find the first and second derivatives of the function. f (x) = In(cos x)

A: We will use the chain rule and quotient rule of differentiation to find the first derivative and the…