Q2) find the derivative of the functions : 10 logą t (3x²-1 1) y 2) f(x) = 2x+5

Q: Solve for the 4th derivative of function K K= x3Cos√x

A:

Q: Use logarithmic differentiation to find the derivative of the function y=(x²+3)² (2x³-5) 27

A:

Q: e +e =e**

A:

Q: Find the second derivative of the function y=x√1−x2.

A:

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

A: Use quotient rule for derivative

Q: Find the nth order derivative of the square root y=√x.

A: Let's first calculate the nth order derivative of the power function y=xm where m is a real number.

Q: 11. In y = e" sin x

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

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: