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Popular >

derivative of a^2sin^2(x)

Solution

\frac{d}{d x} (a^{2} sin^{2} (x))

Solution

a^{2} sin (2 x)

Solution steps

\frac{d}{d x} (a^{2} sin^{2} (x))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= a^{2} \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

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

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

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

= a^{2} \cdot 2 sin (x) cos (x)

Use the Double Angle identity:

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

= a^{2} sin (2 x)

Popular Examples

tangent of f(x)= x/(x+3),\at x=-2 tangent of

f (x) = \frac{x}{x + 3}, at x = - 2

limit as t approaches+0 of (sin(2t))/t

t \to + 0 lim (\frac{sin ( 2 t )}{t})

derivative of ((s+2))/((s^2+4s+13))derivative of

\frac{( s + 2 )}{( s ^{2} + 4 s + 13 )}

t^2(dx)/(dt)+3tx=t^4log_{10}(t)+1

t^{2} \frac{d x}{d t} + 3 t x = t^{4} lo g_{10} (t) + 1

derivative of 1/(x+xln(x))derivative of

\frac{1}{x + x ln ( x )}

Frequently Asked Questions (FAQ)

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