y=In(sin z³) 18. a. 3z cot z³ b. z² cot z³ c. 3z² tan z³ d. 3z² cot z³

Q: f (x) - να-4 3

A: Given: f(x)=x3-4   Find: The derivative of the given function.

Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: Find the derivative of the following function

A: Let the given function be - y = 5x + tan-11xDifferentiating on both sides with respect to x - dydx =…

Q: Find the derivative of the function y = da

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = (4t + 9)1/2

A:

Q: y= log10 (3x2-5)

A: To calculate the derivative of function y =log10(3x2-5)

Q: Graph the derivative of the function in Figure, omitting points where the derivative is not defined.

A: Consider the function: y=12x2

Q: Find the derivative of the function. s = t6 et

A: To find the derivative of the function use the product rule. Let's take an example: Let y=uv and u…

Q: A. f(x) = 2xª + 5x² - 5 %3D X slope - 4 - 1/2 2.

A: Solution:  Given f(x)=2x4+5x2-5To find the derivative of f and then the slope of each given…

Q: Calculate the derivative of the function. Then find the value of the derivative as specified. dr de…

A: Solution:

Q: y=etan 3x

A: We find the derivative of y=etan(3x).