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Popular >

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

Solution

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

Solution

4 cos (2 x) (sin (2 x) + 1)

Solution steps

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

Apply the chain rule:

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

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

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

= 2 (sin (2 x) + 1) \cdot 2 cos (2 x)

Simplify

= 4 cos (2 x) (sin (2 x) + 1)

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of (sin(2x+1)^2) ?
The derivative of (sin(2x+1)^2) is 4cos(2x)(sin(2x)+1)
What is the first derivative of (sin(2x+1)^2) ?
The first derivative of (sin(2x+1)^2) is 4cos(2x)(sin(2x)+1)