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Popular >

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

Solution

derivative of

F (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)

Popular Examples

integral from 3 to 9 of 8/x

\int_{3}^{9} \frac{8}{x} d x

limit as x approaches 4 of (7+x)/(4-x)

x \to 4 lim (\frac{7 + x}{4 - x})

limit as x approaches 0 of x/(sin^2(0))

x \to 0 lim (\frac{x}{sin ^{2} ( 0 )})

integral of (tan(2x))/2

\int \frac{tan ( 2 x )}{2} d x

laplacetransform 8t^3 laplace transform

8 t^{3}

Frequently Asked Questions (FAQ)

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