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Popular >

derivative of f(x)=(7x^4-6x^3-5x)^8

Solution

derivative of

f (x) = (7 x^{4} - 6 x^{3} - 5 x)^{8}

Solution

8 (7 x^{4} - 6 x^{3} - 5 x)^{7} (28 x^{3} - 18 x^{2} - 5)

Solution steps

\frac{d}{d x} ((7 x^{4} - 6 x^{3} - 5 x)^{8})

Apply the chain rule:

8 (7 x^{4} - 6 x^{3} - 5 x)^{7} \frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x)

= 8 (7 x^{4} - 6 x^{3} - 5 x)^{7} \frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x)

\frac{d}{d x} (7 x^{4} - 6 x^{3} - 5 x) = 28 x^{3} - 18 x^{2} - 5

= 8 (7 x^{4} - 6 x^{3} - 5 x)^{7} (28 x^{3} - 18 x^{2} - 5)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=(7x^4-6x^3-5x)^8 ?
The derivative of f(x)=(7x^4-6x^3-5x)^8 is 8(7x^4-6x^3-5x)^7(28x^3-18x^2-5)
What is the first derivative of f(x)=(7x^4-6x^3-5x)^8 ?
The first derivative of f(x)=(7x^4-6x^3-5x)^8 is 8(7x^4-6x^3-5x)^7(28x^3-18x^2-5)