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Popular Calculus >

derivative of (x^5-4x^3-7^8)

Solution

\frac{d}{d x} ((x^{5} - 4 x^{3} - 7)^{8})

Solution

8 (x^{5} - 4 x^{3} - 7)^{7} (5 x^{4} - 12 x^{2})

Solution steps

\frac{d}{d x} ((x^{5} - 4 x^{3} - 7)^{8})

Apply the chain rule:

8 (x^{5} - 4 x^{3} - 7)^{7} \frac{d}{d x} (x^{5} - 4 x^{3} - 7)

= 8 (x^{5} - 4 x^{3} - 7)^{7} \frac{d}{d x} (x^{5} - 4 x^{3} - 7)

\frac{d}{d x} (x^{5} - 4 x^{3} - 7) = 5 x^{4} - 12 x^{2}

= 8 (x^{5} - 4 x^{3} - 7)^{7} (5 x^{4} - 12 x^{2})

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (x^5-4x^3-7^8) ?
The derivative of (x^5-4x^3-7^8) is 8(x^5-4x^3-7)^7(5x^4-12x^2)
What is the first derivative of (x^5-4x^3-7^8) ?
The first derivative of (x^5-4x^3-7^8) is 8(x^5-4x^3-7)^7(5x^4-12x^2)