What is the derivative of sin^2(2x+1) ?

The derivative of sin^2(2x+1) is 4sin(2x+1)cos(2x+1)

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

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

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derivative of

sin^{2} (2 x + 1)

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

Solution steps

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

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

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

Simplify

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

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

f (x) = 4 + x

\frac{x ^{3}}{( 1 + x ^{3} )}

f^{2} (x)

\frac{1}{tan ( x )}

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