en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular Calculus >

derivative of sin^2(3x^2-1)

Solution

\frac{d}{d x} (sin^{2} (3 x^{2} - 1))

Solution

12 x sin (3 x^{2} - 1) cos (3 x^{2} - 1)

Solution steps

\frac{d}{d x} (sin^{2} (3 x^{2} - 1))

Apply the chain rule:

2 sin (3 x^{2} - 1) \frac{d}{d x} (sin (3 x^{2} - 1))

= 2 sin (3 x^{2} - 1) \frac{d}{d x} (sin (3 x^{2} - 1))

\frac{d}{d x} (sin (3 x^{2} - 1)) = cos (3 x^{2} - 1) \cdot 6 x

= 2 sin (3 x^{2} - 1) cos (3 x^{2} - 1) \cdot 6 x

Simplify

= 12 x sin (3 x^{2} - 1) cos (3 x^{2} - 1)

Graph

Popular Examples

laplacetransform te^{-2t}cos(3t)

l a pl a ce t r an s f or m t e^{- 2 t} cos (3 t)

integral of 1/(sqrt(x^2-0.01))

\int \frac{1}{x ^{2} - 0.01} d x

integral of (x^3)/(1+x)

\int \frac{x ^{3}}{1 + x} d x

y^{''}-y^'-2y=-6t+4t^2

y^{^{''}} - y^{^{'}} - 2 y = - 6 t + 4 t^{2}

integral from-2 to 4 of |-2x+4|

\int_{- 2}^{4} ∣ - 2 x + 4 ∣ d x

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(3x^2-1) ?
The derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)
What is the first derivative of sin^2(3x^2-1) ?
The first derivative of sin^2(3x^2-1) is 12xsin(3x^2-1)cos(3x^2-1)