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Popular >

derivative of sin^2(x-sin(x^2))

Solution

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

Solution

sin (2 x) - cos (x^{2}) \cdot 2 x

Solution steps

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

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

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

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

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

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

Popular Examples

simplify 5sqrt(t^3)simplify

5 t^{3}

slope ofintercept (4,1),(6,7)slope intercept

(4, 1), (6, 7)

integral of sin^2(x)sin(x)

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

integral from 1 to 10 of 1/((x-2)^{1/3)}

\int_{1}^{10} \frac{1}{( x - 2 ) ^{\frac{1}{3}}} d x

(\partial)/(\partial x)(4x^{4y})

\frac{\partial}{\partial x} (4 x^{4 y})

Frequently Asked Questions (FAQ)

What is the derivative of sin^2(x-sin(x^2)) ?
The derivative of sin^2(x-sin(x^2)) is sin(2x)-cos(x^2)*2x
What is the first derivative of sin^2(x-sin(x^2)) ?
The first derivative of sin^2(x-sin(x^2)) is sin(2x)-cos(x^2)*2x