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

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

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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

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

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Use the Double Angle identity:

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

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

\int 3 x cos^{3} (x^{2} + 2) d x

f (x) = x^{2}, at m (x) = - \frac{1}{2}

\frac{d}{d x} (r^{2} - 8 x^{2})

\int x (x + 4)^{- \frac{3}{2}} d x

n = 1 \sum \infty (- 1)^{n} n^{- 3}

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