3. Find the derivative y(15)of the function y = (x2 + x)sin(2x).

Q: I. Find the second derivative 3. y = (x +8) (6x-1)

A:

Q: Vx-1 for the function f(x) = -! by using quotient rule. Vx +1

A: Use quotient rule for derivative

Q: Find the 10th-order derivative of the function y=(x2+4x+1)√ex at the point x=0.

A:

Q: C) Find the derivative of y= (1+ x²)*

A:

Q: Find the derivative of y = 7x⁹ + 9 +3. dy = dx

A:

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: