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Popular >

derivative of sin^2(x^2+1)

Solution

\frac{d}{d x} (sin^{2} (x^{2} + 1))

Solution

4 x sin (x^{2} + 1) cos (x^{2} + 1)

Solution steps

\frac{d}{d x} (sin^{2} (x^{2} + 1))

Apply the chain rule:

2 sin (x^{2} + 1) \frac{d}{d x} (sin (x^{2} + 1))

= 2 sin (x^{2} + 1) \frac{d}{d x} (sin (x^{2} + 1))

\frac{d}{d x} (sin (x^{2} + 1)) = cos (x^{2} + 1) \cdot 2 x

= 2 sin (x^{2} + 1) cos (x^{2} + 1) \cdot 2 x

Simplify

= 4 x sin (x^{2} + 1) cos (x^{2} + 1)

Popular Examples

integral from 1 to 4 of-5sqrt(t)ln(t)

\int_{1}^{4} - 5 t ln (t) d t

(\partial)/(\partial x)(x^2cos(xy^2))

\frac{\partial}{\partial x} (x^{2} cos (x y^{2}))

limit as t approaches+0 of (e^t-1)/(t^9)

t \to + 0 lim (\frac{e ^{t} - 1}{t ^{9}})

tangent of f(x)= 3/x ,(6, 1/2)tangent of

f (x) = \frac{3}{x}, (6, \frac{1}{2})

integral of 32sin^4(2x)

\int 32 sin^{4} (2 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(x^2+1) ?
The derivative of sin^2(x^2+1) is 4xsin(x^2+1)cos(x^2+1)
What is the first derivative of sin^2(x^2+1) ?
The first derivative of sin^2(x^2+1) is 4xsin(x^2+1)cos(x^2+1)