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Popular Calculus >

derivative of sin(2x^3+x^2+1)

Solution

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

Solution

cos (2 x^{3} + x^{2} + 1) (6 x^{2} + 2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= cos (2 x^{3} + x^{2} + 1) (6 x^{2} + 2 x)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sin(2x^3+x^2+1) ?
The derivative of sin(2x^3+x^2+1) is cos(2x^3+x^2+1)(6x^2+2x)
What is the first derivative of sin(2x^3+x^2+1) ?
The first derivative of sin(2x^3+x^2+1) is cos(2x^3+x^2+1)(6x^2+2x)