# What is derivative of sin 5x?

## What is derivative of sin 5x?

The chain rule then says to differentiate the outside function, and the derivative of sinx is cosx . With this derivative, plug in the inside function: this gives us cos5x . The final step of this is to multiply the function by the derivative of the inside function, and the derivative of 5x is 5 .

## Is sin 5x the same as Sinx 5?

Both of the equalities that you wrote above are NOT true. One way to look at this might be to use their Taylor series expansion. sin(5x) means the sine of 5 times an angle measure x. This means in a right triangle whose hypotenuse is of length 1, the perpendicular corresponding to the acute angle 5x has length sin(5x).

## How do you integrate sin 5x?

The formula for the trigonometric function sin3x is given by, sin3x 3 sin x – 4 sin^3x which can be written as sin3x 3 sin x – 4 sin3x.

## What does sin 5x mean?

sin(5x) means the sine of 5 times an angle measure x.

2 cos 2x

## What is the derivative of cos 5x?

To apply the chain rule, set $u$ as $5x$ and get the required result. Then the derivative of $cos (5x)$ is $– 5sin (5x)$

## What is the derivative of sin 3x?

The derivative of sin3x is equal to 3 cos3x. The derivative of sin^3x is equal to 3 sin2x cosx. We can evaluate the sin3x differentiation using the chain rule and first principle of derivatives.