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Popular >

derivative of-2x^4+7xe^{3x-2}

Solution

derivative of

- 2 x^{4} + 7 x e^{3 x - 2}

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

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Frequently Asked Questions (FAQ)

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