en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of 3sin^2(t)

Solution

derivative of

3 sin^{2} (t)

Solution

3 sin (2 t)

Solution steps

\frac{d}{d t} (3 sin^{2} (t))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 3 \frac{d}{d t} (sin^{2} (t))

Apply the chain rule:

2 sin (t) \frac{d}{d t} (sin (t))

= 2 sin (t) \frac{d}{d t} (sin (t))

\frac{d}{d t} (sin (t)) = cos (t)

= 3 \cdot 2 sin (t) cos (t)

Simplify

3 \cdot 2 sin (t) cos (t) : 3 sin (2 t)

= 3 sin (2 t)

Popular Examples

integral of (4e^x)/(e^{2x)+8e^x+16}

\int \frac{4 e ^{x}}{e ^{2 x} + 8 e ^{x} + 16} d x

(\partial)/(\partial x)(-xe^{x/y})

\frac{\partial}{\partial x} (- x e^{\frac{x}{y}})

limit as x approaches 2 of sqrt(13-2x)

x \to 2 lim (13 - 2 x)

limit as x approaches 0 of 8x+4h-3

x \to 0 lim (8 x + 4 h - 3)

derivative of sqrt(1-(x^2/4))

\frac{d}{d x} (1 - \frac{x ^{2}}{4})

Frequently Asked Questions (FAQ)

What is the derivative of 3sin^2(t) ?
The derivative of 3sin^2(t) is 3sin(2t)
What is the first derivative of 3sin^2(t) ?
The first derivative of 3sin^2(t) is 3sin(2t)