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Popular >

derivative of y=(6x^3+3x+1)^{10}

Solution

derivative of

y = (6 x^{3} + 3 x + 1)^{10}

Solution

10 (6 x^{3} + 3 x + 1)^{9} (18 x^{2} + 3)

Solution steps

\frac{d}{d x} ((6 x^{3} + 3 x + 1)^{10})

Apply the chain rule:

10 (6 x^{3} + 3 x + 1)^{9} \frac{d}{d x} (6 x^{3} + 3 x + 1)

= 10 (6 x^{3} + 3 x + 1)^{9} \frac{d}{d x} (6 x^{3} + 3 x + 1)

\frac{d}{d x} (6 x^{3} + 3 x + 1) = 18 x^{2} + 3

= 10 (6 x^{3} + 3 x + 1)^{9} (18 x^{2} + 3)

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Frequently Asked Questions (FAQ)

What is the derivative of y=(6x^3+3x+1)^{10} ?
The derivative of y=(6x^3+3x+1)^{10} is 10(6x^3+3x+1)^9(18x^2+3)
What is the first derivative of y=(6x^3+3x+1)^{10} ?
The first derivative of y=(6x^3+3x+1)^{10} is 10(6x^3+3x+1)^9(18x^2+3)