# What is the derivative of x square sin x?

## What is the derivative of x square sin x?

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

What is the nth derivative of sin Square X?

yn = n(n-1)e^x +2n. xe^x+x^2e^x. Originally Answered: What is the derivative of sin) (x^2)? If f(x) = sin (x^2), then f ‘ (x) = 2x cos(x^2).

### What is the derivative of 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.

What is sin differentiation?

For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle.

#### How do you find the nth derivative?

The nth derivative refers to any one of a number of higher level derivatives of a function. When you take the derivative of function one time, you get the first derivative….Examples: Finding The nth Derivative

1. f′(x) = nx. n – 1
2. f′′(x) = n(n – 1)x. n – 2
3. f′′′(x) = n(n – 1) (n – 2)x. n – 3

How do you find the derivative of sin x?

The derivative of sine function is cosine function. i.e., the derivative of sin x with respect to x is cos x. It is mathematically written as d/dx(sin x) (or) (sin x)’ = cos x.

## Which rule is used to find derivative of y x sin x with respect to x?

It’s the product of two functions and so we must make use of the product rule. This is a simple formula which you have to remember: dy/dx = f'(x)g(x) + f(x)g'(x).

Why is derivative of sin cos?

Originally Answered: Why is derivative of sin x = -cos x? The series we got after differentiation is the cosine series expansion. So, Cos(x) is the derivative of Sin(x).

### How do you find the nth derivative of sin 3x?

: d/dx f (y) = d/dx f (x) * d/dx(y), just put f(y) = sin (3x) and you will understand how the 3 got multiplied.)

What is the derivative of square root of x?

The derivative of root x is equal to (1/2) x-1/2. We can calculate this derivative using various methods of differentiation such as the first principle of derivatives, power rule of differentiation, and chain rule method.

#### What is the derivative of x upon sin x?

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

How do you calculate derivative?

Go to the Insert tab and click Equation. A blank equation appears.

• Build your equation by selecting symbols,structures,and matrices from the options displayed in the Equation tab.
• Format your equation using the options available in the Text section.
• ## How do you solve a derivative?

power rule

• product rule
• quotient rule
• chain rule
• How to find the function from the derivative?

– Just a number (e.g., 4) – A number multiplied by a variable with no exponent (e.g., 4x) – A number multiplied by a variable with an exponent (e.g., 4x^2) – Addition (e.g., 4x + 4) – Multiplication of variables (e.g., of the form x*x) – Division of variables (e.g., of the form x/x)

### How do you calculate derivatives?

– (4)’ = 0 – (-234059)’ = 0 – (pi)’ = 0