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

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

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

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

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}) + \frac{1 - x}{1 + x}

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

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

\int_{6}^{7} x x - 6 d x

\frac{d}{d x} (3 x^{2} - 12)

\int \frac{1}{8 x ^{7}} d x

\frac{d y}{d t} = 0.28 - \frac{( 7 y )}{1000}

\frac{d}{d x} (\frac{x ^{3}}{x ^{4} + 1})

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