What is the derivative of sin^2(x+5) ?

The derivative of sin^2(x+5) is sin(2(5+x))

What is the first derivative of sin^2(x+5) ?

The first derivative of sin^2(x+5) is sin(2(5+x))

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\frac{d}{d x} (sin^{2} (x + 5))

sin (2 (5 + x))

Solution steps

\frac{d}{d x} (sin^{2} (x + 5))

Apply the chain rule:

2 sin (x + 5) \frac{d}{d x} (sin (x + 5))

= 2 sin (x + 5) \frac{d}{d x} (sin (x + 5))

\frac{d}{d x} (sin (x + 5)) = cos (x + 5)

= 2 sin (x + 5) cos (x + 5)

Use the Double Angle identity:

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

= sin (2 (5 + x))

\frac{d}{d x} ((e^{3})^{x - 1})

\frac{d}{d x} (5 x^{8})

\int \frac{( 1 - t cos ( t ) )}{t} d t

\frac{5}{s + 1}

4 x^{4} - 4 x^{2}, 3 x^{2}, [0, 0]

What is the derivative of sin^2(x+5) ?
The derivative of sin^2(x+5) is sin(2(5+x))
What is the first derivative of sin^2(x+5) ?
The first derivative of sin^2(x+5) is sin(2(5+x))