# What is the derivative of root sin x?

## What is the derivative of root sin x?

The derivative of sin(x) with respect to x is cos(x) .

What is the derivative of x square sin x?

Hence, the derivative of y=(x2)(sinx) is y’=2xsinx+x2cosx .

Is Sinx derivable?

Theorem The function sin x is differentiable everywhere, and its derivative is cos x.

### What is the derivative of root Cos X?

The derivative of cos(x) with respect to x is −sin(x) .

Is the derivative of area volume?

The rate of change of the volume of the sphere is equal to the surface area of the sphere. The outside of the paint is the new boundary of the sphere, and the inside of the paint is added to the volume. This explains why the derivative (rate of change) of the volume is the surface area (SA).

What is the derivative of area of a square?

The area of a square depends on the length of its side. The derivative measures the rate at which the area changes when the side changes, measured in units like (square centimeters of area) per (centimeter of side). @TZakrevskiy ‘s answer above explains why that’s just twice the side length.

#### How do you differentiate x sin x?

The formula for the derivative of xsinx is given by, d(xsinx)/dx = xcosx + sinx. We use the derivative of sinx and x to arrive at the differentiation of xsinx. Also, the derivative of a function gives the rate of change of the function at a point.

What is the derivative of sin x2 )?

Calculus Examples To apply the Chain Rule, set u u as x2 x 2 . The derivative of sin(u) sin ( u ) with respect to u u is cos(u) cos ( u ) .

What is the derivative of 2sinx?

Calculus Examples Since 2 is constant with respect to x , the derivative of 2sin(x) 2 sin ( x ) with respect to x is 2ddx[sin(x)] 2 d d x [ sin ( x ) ] .

## What is the derivative of the area of a square?

What is integration of area?

The area under a curve between two points can be found by doing a definite integral between the two points. To find the area under the curve y = f(x) between x = a and x = b, integrate y = f(x) between the limits of a and b. Areas under the x-axis will come out negative and areas above the x-axis will be positive.

What is the derivative of the area of a rectangle?

Illustration of calculating the derivative of the area A(t)=x(t)y(t) of a rectangle with time varying width x(t) and height y(t).