What is the derivative of sin^2(e^{sin(2)(t)}) ?

The derivative of sin^2(e^{sin(2)(t)}) is sin(2)e^{sin(2)t}sin(2e^{sin(2)t})

What is the first derivative of sin^2(e^{sin(2)(t)}) ?

The first derivative of sin^2(e^{sin(2)(t)}) is sin(2)e^{sin(2)t}sin(2e^{sin(2)t})

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin^{2} (e^{s i n (2) (t)})

sin (2) e^{s i n (2) t} sin (2 e^{s i n (2) t})

Solution steps

\frac{d}{d t} (sin^{2} (e^{s i n (2) t}))

Apply the chain rule:

2 sin (e^{s i n (2) t}) \frac{d}{d t} (sin (e^{s i n (2) t}))

= 2 sin (e^{s i n (2) t}) \frac{d}{d t} (sin (e^{s i n (2) t}))

\frac{d}{d t} (sin (e^{s i n (2) t})) = cos (e^{s i n (2) t}) e^{s i n (2) t} sin (2)

= 2 sin (e^{s i n (2) t}) cos (e^{s i n (2) t}) e^{s i n (2) t} sin (2)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2) e^{s i n (2) t} sin (2 e^{s i n (2) t})

\frac{d}{d x} (2 cos^{4} (x))

f (x) = \frac{x ^{2} + 1}{x}

\int \frac{1}{e ^{x} - 4 e ^{- x}} d x

y^{^{'}} = \frac{( y ^{4} - 1 )}{4 x y ^{3}}

\int \frac{8}{w ^{2} 4 - w ^{2}} d w

What is the derivative of sin^2(e^{sin(2)(t)}) ?
The derivative of sin^2(e^{sin(2)(t)}) is sin(2)e^{sin(2)t}sin(2e^{sin(2)t})
What is the first derivative of sin^2(e^{sin(2)(t)}) ?
The first derivative of sin^2(e^{sin(2)(t)}) is sin(2)e^{sin(2)t}sin(2e^{sin(2)t})