What is e^{-4x^4} derivative of x^4 ?

The solution to e^{-4x^4} derivative of x^4 is (derivative of x^4)/(e^{4x^4)}

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simplify e^{-4x^4} derivative of x^4

simplify

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

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

Solution steps

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

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{4 x^{4}}} \frac{d}{d x} (x^{4})

Multiply fractions:

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

= \frac{1 \frac{d}{d x} ( x ^{4} )}{e ^{4 x^{4}}}

Multiply:

1 \frac{d}{d x} (x^{4}) = \frac{d}{d x} (x^{4})

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

2 - t \cdot 2

7^{2} \cdot 5

(3.5 x 1 0^{- 6}) (8.5 x 1 0^{- 3})

1.23 \cdot 1 0^{- 3} \cdot 1716

216 x^{2} (- x^{3} - 6 x)^{2}

What is e^{-4x^4} derivative of x^4 ?
The solution to e^{-4x^4} derivative of x^4 is (derivative of x^4)/(e^{4x^4)}