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Popular >

derivative of f(x)=(3x^2+4x+1)^{10}

Solution

derivative of

f (x) = (3 x^{2} + 4 x + 1)^{10}

Solution

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

Solution steps

\frac{d}{d x} ((3 x^{2} + 4 x + 1)^{10})

Apply the chain rule:

10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

= 10 (3 x^{2} + 4 x + 1)^{9} \frac{d}{d x} (3 x^{2} + 4 x + 1)

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

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

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Frequently Asked Questions (FAQ)

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