4. Take the following derivatives; a. f(x) = x"Inx b. y = sinx 3 C. g(t) = Vx - 4

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

A: According to the chain rule of differentiation:

Q: 1. y = Vz + 3z – 1

A:

Q: v(t)= Jt?-Jt Find second derivative

A:

Q: -4 c) f(x) = In

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

Q: Differentiate the function. y = 1 (5x – 16)2

A: Given,

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

A:

Q: Find the indicated higher derivative of the given function. y = 4x² + 9x³-5x + 6; find y". y" = ||

A: Find the double derivative of the function  y= 4x4+9x3-5x+6

Q: The derivative of y = sin(e2x) is: 1. e2xcos(e2x) 2. 2cos(e2x) 3. 2e2xcos(e2x) 4. 2xcos(e2x)

A:

Q: Find y" by implicit differentiation. x² + 9y2 と y"

A:

Q: 12. Find the derivative of the following function. y = 71n(x -4) a. x3-4 b. Зx? х* c. d. 21x?

A: To find the derivative of the below function.          y = 7ln[x3 – 4]

Q: (b). Find the second derivative. y=x²-5vx

A:

Q: Calculate the derivatives of the following functions: (a) f(x)= 3x² + 4x + 6

A: (a) f(x) = 3x² + 4x + 6  So, f'(x) = 6x + 4