What is the derivative of sin^2(3x+4) ?

The derivative of sin^2(3x+4) is 6sin(3x+4)cos(3x+4)

What is the first derivative of sin^2(3x+4) ?

The first derivative of sin^2(3x+4) is 6sin(3x+4)cos(3x+4)

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derivative of

sin^{2} (3 x + 4)

6 sin (3 x + 4) cos (3 x + 4)

Solution steps

\frac{d}{d x} (sin^{2} (3 x + 4))

Apply the chain rule:

2 sin (3 x + 4) \frac{d}{d x} (sin (3 x + 4))

= 2 sin (3 x + 4) \frac{d}{d x} (sin (3 x + 4))

\frac{d}{d x} (sin (3 x + 4)) = cos (3 x + 4) \cdot 3

= 2 sin (3 x + 4) cos (3 x + 4) \cdot 3

Simplify

= 6 sin (3 x + 4) cos (3 x + 4)

d er i v a t i v e e^{6} x

d er i v a t i v e y = 7 x^{3} + 2 x^{2} + 4 x

d er i v a t i v e ln ((1 + 3 x)^{2})

d er i v a t i v e \frac{3}{x ^{2} + 2}

d er i v a t i v e \frac{3 x}{5}

What is the derivative of sin^2(3x+4) ?
The derivative of sin^2(3x+4) is 6sin(3x+4)cos(3x+4)
What is the first derivative of sin^2(3x+4) ?
The first derivative of sin^2(3x+4) is 6sin(3x+4)cos(3x+4)