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

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

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

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

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derivative of

sin^{2} (x + 4)

sin (2 (4 + x))

Solution steps

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

Apply the chain rule:

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

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

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

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

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 (4 + x))

x y + 1

\frac{sec ( y )}{y ^{2}}

\frac{d}{d t} (5 t^{3} - 10 t)

4^{x} + 1

\frac{d}{d a} (\frac{a ^{2} - 2 a + a}{9})

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