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Popular >

derivative of ((x^2+32sqrt(x)))/8

Solution

derivative of

\frac{( x ^{2} + 32 x )}{8}

Solution

\frac{1}{8} (2 x + \frac{16}{x})

Solution steps

\frac{d}{d x} (\frac{x ^{2} + 32 x}{8})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= \frac{1}{8} \frac{d}{d x} (x^{2} + 32 x)

Apply the Sum/Difference Rule:

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

= \frac{1}{8} (\frac{d}{d x} (x^{2}) + \frac{d}{d x} (32 x))

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

\frac{d}{d x} (32 x) = \frac{16}{x}

= \frac{1}{8} (2 x + \frac{16}{x})

Popular Examples

derivative of y=1-(x^2)/(36)derivative of

y = 1 - \frac{x ^{2}}{36}

(\partial)/(\partial z)(2y+z)

\frac{\partial}{\partial z} (2 y + z)

integral of (arcsin(5x))/(sqrt(1-25x^2))

\int \frac{arcsin ( 5 x )}{1 - 25 x ^{2}} d x

t^2y^{''}+11ty^'+25y=0

t^{2} y^{^{''}} + 11 t y^{^{'}} + 25 y = 0

(\partial)/(\partial x)(e^{-5x^2-2y^2})

\frac{\partial}{\partial x} (e^{- 5 x^{2} - 2 y^{2}})

Frequently Asked Questions (FAQ)

What is the derivative of ((x^2+32sqrt(x)))/8 ?
The derivative of ((x^2+32sqrt(x)))/8 is 1/8 (2x+(16)/(sqrt(x)))
What is the first derivative of ((x^2+32sqrt(x)))/8 ?
The first derivative of ((x^2+32sqrt(x)))/8 is 1/8 (2x+(16)/(sqrt(x)))