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Popular >

derivative of e^{(x^4/(10)})

Solution

\frac{d}{d x} (e^{\frac{x ^{4}}{10}})

Solution

\frac{2 e ^{\frac{x ^{4}}{10}} x ^{3}}{5}

Solution steps

\frac{d}{d x} (e^{\frac{x ^{4}}{10}})

Apply the chain rule:

e^{\frac{x ^{4}}{10}} \frac{d}{d x} (\frac{x ^{4}}{10})

= e^{\frac{x ^{4}}{10}} \frac{d}{d x} (\frac{x ^{4}}{10})

\frac{d}{d x} (\frac{x ^{4}}{10}) = \frac{2 x ^{3}}{5}

= e^{\frac{x ^{4}}{10}} \frac{2 x ^{3}}{5}

Multiply fractions:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{2 e ^{\frac{x ^{4}}{10}} x ^{3}}{5}

Popular Examples

(dy)/(dx)=x^2+y-1

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

y^{''}+9y=2sin(2x),y(0)=0,y^'(0)=-1

y^{^{''}} + 9 y = 2 sin (2 x), y (0) = 0, y^{^{'}} (0) = - 1

tangent of (4x)/((x^2+1))tangent of

\frac{4 x}{( x ^{2} + 1 )}

integral from 0 to 3 of (1+6x^2-10x^4)

\int_{0}^{3} (1 + 6 x^{2} - 10 x^{4}) d x

maclaurin (1+px)^{-1}maclaurin

(1 + p x)^{- 1}

Frequently Asked Questions (FAQ)

What is the derivative of e^{(x^4/(10)}) ?
The derivative of e^{(x^4/(10)}) is (2e^{(x^4)/(10)}x^3)/5
What is the first derivative of e^{(x^4/(10)}) ?
The first derivative of e^{(x^4/(10)}) is (2e^{(x^4)/(10)}x^3)/5