х3+3x+2 5. у %3 х2-1

Q: Find the derivative of the function by quotient rule. f(x) = 3x+7 5х-2

A: Use the quotient rule to differentiate the given function as in next step.

Q: Find the derivative of the function. y = 3ex - 6x

A: Given that  y=3e^x-6x To find the derivative of the function

Q: 8. y = (3x² + 7)² %3D

A:

Q: Find the derivative of each function using the FTC Part 1

A:

Q: Find the derivative of the function f(x) = x2 - 5x + 3 at the numbers (a) 2 and (b) a. %3D

A: a. From the definition we have the following, Simplify further,

Q: F'irond, Che derivative: y

A: Given: y=6x+7x2-x+3 We know that ddxuv=vdudx-udvdxv2…

Q: Find the derivative. Show all steps and simplify fully.

A: Given,          y=5x47-5x3

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: