What is the derivative of f(x)=e^{x^6} ?

The derivative of f(x)=e^{x^6} is e^{x^6}*6x^5

What is the first derivative of f(x)=e^{x^6} ?

The first derivative of f(x)=e^{x^6} is e^{x^6}*6x^5

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derivative of

f (x) = e^{x^{6}}

e^{x^{6}} \cdot 6 x^{5}

Solution steps

\frac{d}{d x} (e^{x^{6}})

Apply the chain rule:

e^{x^{6}} \frac{d}{d x} (x^{6})

= e^{x^{6}} \frac{d}{d x} (x^{6})

\frac{d}{d x} (x^{6}) = 6 x^{5}

= e^{x^{6}} \cdot 6 x^{5}

\int_{2}^{\infty} \frac{8}{x ^{2}} d x

\frac{d}{d x} (\frac{( 5 x ^{3} )}{( 1 - 5 x ) ^{4}})

y^{^{''}} - 4 y^{^{'}} + 4 y = e^{- t}

\int 16 x (8 x^{2} + 2)^{6} d x

\frac{d ^{2} y}{d x ^{2}} - y = 2 e^{x} + 6 e^{2 x}

What is the derivative of f(x)=e^{x^6} ?
The derivative of f(x)=e^{x^6} is e^{x^6}*6x^5
What is the first derivative of f(x)=e^{x^6} ?
The first derivative of f(x)=e^{x^6} is e^{x^6}*6x^5