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

The derivative of sin(x-x^2) is cos(x-x^2)(1-2x)

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

The first derivative of sin(x-x^2) is cos(x-x^2)(1-2x)

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

cos (x - x^{2}) (1 - 2 x)

Solution steps

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

Apply the chain rule:

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

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

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

= cos (x - x^{2}) (1 - 2 x)

\int 5 sin^{4} (x) cos^{2} (x) d x

\int \frac{3}{50 + 2 x} d x

y^{^{''}} + 6 y^{^{'}} + 8 y = e^{- 5 x}

\frac{d}{d x} (6 x^{70})

y^{^{''}} - y^{^{'}} - 2 y = - 2 t + 10 t^{2}

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