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Popular >

derivative of 7e^{2x^4-3x}

Solution

\frac{d}{d x} (7 e^{2 x^{4} - 3 x})

Solution

7 e^{2 x^{4} - 3 x} (8 x^{3} - 3)

Solution steps

\frac{d}{d x} (7 e^{2 x^{4} - 3 x})

Take the constant out:

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

= 7 \frac{d}{d x} (e^{2 x^{4} - 3 x})

Apply the chain rule:

e^{2 x^{4} - 3 x} \frac{d}{d x} (2 x^{4} - 3 x)

= e^{2 x^{4} - 3 x} \frac{d}{d x} (2 x^{4} - 3 x)

\frac{d}{d x} (2 x^{4} - 3 x) = 8 x^{3} - 3

= 7 e^{2 x^{4} - 3 x} (8 x^{3} - 3)

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Frequently Asked Questions (FAQ)

What is the derivative of 7e^{2x^4-3x} ?
The derivative of 7e^{2x^4-3x} is 7e^{2x^4-3x}(8x^3-3)
What is the first derivative of 7e^{2x^4-3x} ?
The first derivative of 7e^{2x^4-3x} is 7e^{2x^4-3x}(8x^3-3)