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Popular >

derivative of sin(x^2+(1-x)/(1+x))

Solution

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

Solution

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}}

Popular Examples

derivative of 2(x-sin(x))

\frac{d}{d x} (2 (x - sin (x)))

derivative of (4x/(9-tan(x)))

\frac{d}{d x} (\frac{4 x}{9 - tan ( x )})

(\partial)/(\partial z)(xe^{{w}(x,z)})

\frac{\partial}{\partial z} (x e^{w (x, z)})

derivative of xsin(pix)derivative of

x sin (π x)

ln(x)-x^2y=xy^'

ln (x) - x^{2} y = x y^{^{'}}

Frequently Asked Questions (FAQ)

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