en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of sin^2(2x+1)

Solution

\frac{d}{d x} (sin^{2} (2 x + 1))

Solution

4 sin (2 x + 1) cos (2 x + 1)

Solution steps

\frac{d}{d x} (sin^{2} (2 x + 1))

Apply the chain rule:

2 sin (2 x + 1) \frac{d}{d x} (sin (2 x + 1))

= 2 sin (2 x + 1) \frac{d}{d x} (sin (2 x + 1))

\frac{d}{d x} (sin (2 x + 1)) = cos (2 x + 1) \cdot 2

= 2 sin (2 x + 1) cos (2 x + 1) \cdot 2

Simplify

= 4 sin (2 x + 1) cos (2 x + 1)

Graph

Popular Examples

derivative of (2x-1^2)

\frac{d}{d x} ((2 x - 1)^{2})

xy^'-y= 4/3 xln(x)

x y^{^{'}} - y = \frac{4}{3} x ln (x)

integral of (x^2-x+36)/(x^3+6x)

\int \frac{x ^{2} - x + 36}{x ^{3} + 6 x} d x

(\partial)/(\partial x)(10x(x^2+y^2)^{1/2})

\frac{\partial}{\partial x} (10 x (x^{2} + y^{2})^{\frac{1}{2}})

(\partial)/(\partial x)((xy)/(1+x))

\frac{\partial}{\partial x} (\frac{x y}{1 + x})

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(2x+1) ?
The derivative of sin^2(2x+1) is 4sin(2x+1)cos(2x+1)
What is the first derivative of sin^2(2x+1) ?
The first derivative of sin^2(2x+1) is 4sin(2x+1)cos(2x+1)