What is the derivative of f(x)=sin(x^2+1) ?

The derivative of f(x)=sin(x^2+1) is cos(x^2+1)*2x

What is the first derivative of f(x)=sin(x^2+1) ?

The first derivative of f(x)=sin(x^2+1) is cos(x^2+1)*2x

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

f (x) = sin (x^{2} + 1)

cos (x^{2} + 1) \cdot 2 x

Solution steps

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

Apply the chain rule:

cos (x^{2} + 1) \frac{d}{d x} (x^{2} + 1)

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

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

= cos (x^{2} + 1) \cdot 2 x

\int 2 x^{3} \cdot e^{- x^{2}} d x

y^{^{''}} + 4 y = 8 cos (2 x)

\frac{d y}{d t} = k y (1 - y)

\int x x^{2} + 5 d x

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

What is the derivative of f(x)=sin(x^2+1) ?
The derivative of f(x)=sin(x^2+1) is cos(x^2+1)*2x
What is the first derivative of f(x)=sin(x^2+1) ?
The first derivative of f(x)=sin(x^2+1) is cos(x^2+1)*2x