What is the derivative of cos^2(xsin^2x) ?

The derivative of cos^2(xsin^2x) is n^2(-isxsin(2isx)+cos^2(isx))

What is the first derivative of cos^2(xsin^2x) ?

The first derivative of cos^2(xsin^2x) is n^2(-isxsin(2isx)+cos^2(isx))

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\frac{d}{d x} (cos^{2} (x s i) n^{2} x)

n^{2} (- i s x sin (2 i s x) + cos^{2} (i s x))

Solution steps

\frac{d}{d x} (cos^{2} (x s i) n^{2} x)

Take the constant out:

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

= n^{2} \frac{d}{d x} (cos^{2} (x s i) x)

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = cos^{2} (x s i), g = x

= n^{2} (\frac{d}{d x} (cos^{2} (x s i)) x + \frac{d x}{d x} cos^{2} (x s i))

\frac{d}{d x} (cos^{2} (x s i)) = - i s sin (2 i s x)

\frac{d x}{d x} = 1

= n^{2} ((- i s sin (2 i s x)) x + 1 \cdot cos^{2} (x s i))

Simplify

= n^{2} (- i s x sin (2 i s x) + cos^{2} (i s x))

\frac{\partial}{\partial x} (x arcsin (x y))

f (x) = \frac{6}{x}

\frac{\partial}{\partial x} ((x - y)^{5})

y = \frac{8}{x ^{2} + 4}, (2, 1)

\int_{1}^{2} \frac{1}{8} + \frac{3}{8} x d x

What is the derivative of cos^2(xsin^2x) ?
The derivative of cos^2(xsin^2x) is n^2(-isxsin(2isx)+cos^2(isx))
What is the first derivative of cos^2(xsin^2x) ?
The first derivative of cos^2(xsin^2x) is n^2(-isxsin(2isx)+cos^2(isx))