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Popular >

derivative of sin(25x^2+6x+4)

Solution

\frac{d}{d x} (sin (25 x^{2} + 6 x + 4))

Solution

cos (25 x^{2} + 6 x + 4) (50 x + 6)

Solution steps

\frac{d}{d x} (sin (25 x^{2} + 6 x + 4))

Apply the chain rule:

cos (25 x^{2} + 6 x + 4) \frac{d}{d x} (25 x^{2} + 6 x + 4)

= cos (25 x^{2} + 6 x + 4) \frac{d}{d x} (25 x^{2} + 6 x + 4)

\frac{d}{d x} (25 x^{2} + 6 x + 4) = 50 x + 6

= cos (25 x^{2} + 6 x + 4) (50 x + 6)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of sin(25x^2+6x+4) ?
The derivative of sin(25x^2+6x+4) is cos(25x^2+6x+4)(50x+6)
What is the first derivative of sin(25x^2+6x+4) ?
The first derivative of sin(25x^2+6x+4) is cos(25x^2+6x+4)(50x+6)