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Popular >

derivative of (x^4+9x^2-7^8)

Solution

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

Solution

8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

Solution steps

\frac{d}{d x} ((x^{4} + 9 x^{2} - 7)^{8})

Apply the chain rule:

8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

= 8 (x^{4} + 9 x^{2} - 7)^{7} \frac{d}{d x} (x^{4} + 9 x^{2} - 7)

\frac{d}{d x} (x^{4} + 9 x^{2} - 7) = 4 x^{3} + 18 x

= 8 (x^{4} + 9 x^{2} - 7)^{7} (4 x^{3} + 18 x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (x^4+9x^2-7^8) ?
The derivative of (x^4+9x^2-7^8) is 8(x^4+9x^2-7)^7(4x^3+18x)
What is the first derivative of (x^4+9x^2-7^8) ?
The first derivative of (x^4+9x^2-7^8) is 8(x^4+9x^2-7)^7(4x^3+18x)