What is the derivative of f(x)=sin(x^2+2) ?

The derivative of f(x)=sin(x^2+2) is cos(x^2+2)*2x

What is the first derivative of f(x)=sin(x^2+2) ?

The first derivative of f(x)=sin(x^2+2) is cos(x^2+2)*2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

derivative of

f (x) = sin (x^{2} + 2)

cos (x^{2} + 2) \cdot 2 x

Solution steps

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

Apply the chain rule:

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

= cos (x^{2} + 2) \frac{d}{d x} (x^{2} + 2)

\frac{d}{d x} (x^{2} + 2) = 2 x

= cos (x^{2} + 2) \cdot 2 x

\frac{d ^{2}}{d x ^{2}} (e^{2 x^{2}})

im pl i c i t \frac{d y}{d x}, e^{9 x} = sin (x + 8 y)

x \to 8 - lim (\frac{∣ x - 8 ∣}{x - 8})

im pl i c i t \frac{d y}{d x}, 9 x = y^{2}

\int x \cdot e^{3 \cdot x} d x

What is the derivative of f(x)=sin(x^2+2) ?
The derivative of f(x)=sin(x^2+2) is cos(x^2+2)*2x
What is the first derivative of f(x)=sin(x^2+2) ?
The first derivative of f(x)=sin(x^2+2) is cos(x^2+2)*2x