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Popular >

derivative of (x+(x^2-4^3)^{10})

Solution

\frac{d}{d x} ((x + (x^{2} - 4)^{3})^{10})

Solution

10 (x + (x^{2} - 4)^{3})^{9} (1 + 6 x (x^{2} - 4)^{2})

Solution steps

\frac{d}{d x} ((x + (x^{2} - 4)^{3})^{10})

Apply the chain rule:

10 (x + (x^{2} - 4)^{3})^{9} \frac{d}{d x} (x + (x^{2} - 4)^{3})

= 10 (x + (x^{2} - 4)^{3})^{9} \frac{d}{d x} (x + (x^{2} - 4)^{3})

\frac{d}{d x} (x + (x^{2} - 4)^{3}) = 1 + 6 x (x^{2} - 4)^{2}

= 10 (x + (x^{2} - 4)^{3})^{9} (1 + 6 x (x^{2} - 4)^{2})

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (x+(x^2-4^3)^{10}) ?
The derivative of (x+(x^2-4^3)^{10}) is 10(x+(x^2-4)^3)^9(1+6x(x^2-4)^2)
What is the first derivative of (x+(x^2-4^3)^{10}) ?
The first derivative of (x+(x^2-4^3)^{10}) is 10(x+(x^2-4)^3)^9(1+6x(x^2-4)^2)