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Popular >

derivative of (4x/(5sqrt(2))+3)

Solution

\frac{d}{d x} (\frac{4 x}{5 2} + 3)

Solution

\frac{2 2}{5}

Solution steps

\frac{d}{d x} (\frac{4 x}{5 2} + 3)

Simplify

\frac{4 x}{5 2} + 3 : \frac{2 ^{\frac{3}{2}} x}{5} + 3

= \frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5} + 3)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5}) + \frac{d}{d x} (3)

\frac{d}{d x} (\frac{2 ^{\frac{3}{2}} x}{5}) = \frac{2 2}{5}

\frac{d}{d x} (3) = 0

= \frac{2 2}{5} + 0

Simplify

= \frac{2 2}{5}

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integral of (7x^2+5x+7)/((x^2+1)^2)

\int \frac{7 x ^{2} + 5 x + 7}{( x ^{2} + 1 ) ^{2}} d x

(\partial)/(\partial y)(y^3)

\frac{\partial}{\partial y} (y^{3})

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\int sin (x) cos^{- 4} (x) d x

Frequently Asked Questions (FAQ)

What is the derivative of (4x/(5sqrt(2))+3) ?
The derivative of (4x/(5sqrt(2))+3) is (2sqrt(2))/5
What is the first derivative of (4x/(5sqrt(2))+3) ?
The first derivative of (4x/(5sqrt(2))+3) is (2sqrt(2))/5