Table of Contents

## What is derivative of sin4x?

The derivative of sin(x) is **cos(x) .**

## What is the amplitude and period of Y sin4x?

Explanation: The amplitude and period of y a sin (bx + c ) are **a and 2u03c0b . Here, a 1 and b 4. This sine wave oscillates between the crests at y 1 and the lowest points at yu22121 , periodically, with period u03c02 for one full wave.**

## How do you find the period of Y sin4x?

Use the form asin(bxu2212c)+d a sin ( b x – c ) + d to find the variables used to find the amplitude, period, phase shift, and vertical shift. Find the amplitude |a| . Find the period using the formula **2u03c0|b| 2 u03c0 | b | . The period of the function can be calculated using 2u03c0|b| 2 u03c0 | b | .**

## What is the derivative of sin4x 3?

To apply the Chain Rule, set u u as 4×3 4 x 3 . The derivative of sin(u) sin ( u ) with respect to u u is **cos(u) cos ( u )**

## How do you take the derivative of sin4x?

To differentiate $sin (4x)$, we will use the **chain rule which is used to differentiate composite functions. The chain rule states that if $y f(g(x))$, then$dfrac{{dy}}{{dx}} dfrac{{df(g(x))}}{{dx}} dfrac{{df(g(x))}}{{dg(x)}} times dfrac{{dg(x)}}{{dx}}$.**

## What is differentiation of sin 2x?

The derivative of sin 2x is **2 cos 2x. We write this mathematically as d/dx (sin 2x) 2 cos 2x (or) (sin 2x)’ 2 cos 2x. Here, f(x) sin 2x is the sine function with double angle.**

## What is the differentiation of cot 2x?

Let f(x) cot2x (cot x)2. Answer: The derivative of cot2x is **-2 cot x xb7 csc2x**

## What is the formula for sin 4x?

The value of sin4x is 8 sinx cos3x – 4 sinx cosx, the value of cos4x is 4 cos2x – 1, and the value of cot4x is (cot2x – 1) / 4.

## What is the period of Y sin4x?

Explanation: The amplitude and period of y a sin (bx + c ) are a and **2u03c0b . Here, a 1 and b 4. This sine wave oscillates between the crests at y 1 and the lowest points at yu22121 , periodically, with period u03c02 for one full wave.**

## How do you find amplitude and period?

The Amplitude is the height from the center line to the peak (or to the trough). Or we can measure the height from highest to lowest points and divide that by 2.

Now we can see:

amplitude is A = 3.

period is 2π/100 = 0.02 π

phase shift is C = 0.01 (to the left)

vertical shift is D = 0.

## What is the amplitude and the period?

Amplitude is **the distance between the center line of the function and the top or bottom of the function, and the period is the distance between two peaks of the graph, or the distance it takes for the entire graph to repeat.**

## What is the period of Y sin2x?

The period of y sin(2x) is **u03c0.**

## What is the period of the function y sin4x?

The period of the function can be calculated using 2π|b| 2 π | b | . Replace b b with 4 4 in the formula for period. The absolute value is the distance between a number and zero. The distance between 0 0 and 4 4 is 4 4 .

## What is the formula to find the period?

The formula for time can be written as: T (period) = 1 / f (frequency), λ = c / f = wave speed c (m/s) / frequency f ( in Hz). The unit hertz (Hz) can also be known as cps = cycles per second.

## What is period of sin2x?

The period of sin 2x would be 2π2 that is π or 180 degrees.

## What is the derivative of 3e 3?

The derivative of sin(x) is **cos(x) .**

## What is the derivative of 2t 3?

Calculus Examples

Since 2 is constant with respect to t , the derivative of 2t3 2 t 3 with respect to t is 2ddt[t3] 2 d d t [ t 3 ] .

## What is the derivative of 3e 3x?

Calculus Examples Since 2 is constant with respect to t , the derivative of 2t3 2 t 3 with respect to t is **2ddt[t3] 2 d d t [ t 3 ] .**

## What is the derivative of sin 2x?

The derivative of sin(x) is **cos(x) .**

## How do you differentiate 4x?

To apply the Chain Rule, set u u as 4×3 4 x 3 . The derivative of sin(u) sin ( u ) with respect to u u is **cos(u) cos ( u )**