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Popular >

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

Solution

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

Solution

cos (e^{x} (x^{2} - x)) (e^{x} x^{2} + e^{x} x - e^{x})

Solution steps

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

Apply the chain rule:

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

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

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

= cos (e^{x} (x^{2} - x)) (e^{x} x^{2} + e^{x} x - e^{x})

Popular Examples

tangent of 2x^2-2x-4,\at x=1 tangent of

2 x^{2} - 2 x - 4, at x = 1

derivative of (cos(x))/(x^5)derivative of

\frac{cos ( x )}{x ^{5}}

derivative of x/(6-x)

\frac{d}{d x} (\frac{x}{6 - x})

derivative of y=3x^2+12x+6 derivative of

y = 3 x^{2} + 12 x + 6

limit as x approaches 2 of 8-3x+12x^2

x \to 2 lim (8 - 3 x + 12 x^{2})

Frequently Asked Questions (FAQ)

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