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Popular >

derivative of (2x^7-5x^4+2)^{25}

Solution

derivative of

(2 x^{7} - 5 x^{4} + 2)^{25}

Solution

25 (2 x^{7} - 5 x^{4} + 2)^{24} (14 x^{6} - 20 x^{3})

Solution steps

\frac{d}{d x} ((2 x^{7} - 5 x^{4} + 2)^{25})

Apply the chain rule:

25 (2 x^{7} - 5 x^{4} + 2)^{24} \frac{d}{d x} (2 x^{7} - 5 x^{4} + 2)

= 25 (2 x^{7} - 5 x^{4} + 2)^{24} \frac{d}{d x} (2 x^{7} - 5 x^{4} + 2)

\frac{d}{d x} (2 x^{7} - 5 x^{4} + 2) = 14 x^{6} - 20 x^{3}

= 25 (2 x^{7} - 5 x^{4} + 2)^{24} (14 x^{6} - 20 x^{3})

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Frequently Asked Questions (FAQ)

What is the derivative of (2x^7-5x^4+2)^{25} ?
The derivative of (2x^7-5x^4+2)^{25} is 25(2x^7-5x^4+2)^{24}(14x^6-20x^3)
What is the first derivative of (2x^7-5x^4+2)^{25} ?
The first derivative of (2x^7-5x^4+2)^{25} is 25(2x^7-5x^4+2)^{24}(14x^6-20x^3)