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Popular >

derivative of-2xcos(x^2)-e^{-x-2}

Solution

derivative of

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

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

Graph

Popular Examples

derivative of y=(4x^4+5)/(x^2)derivative of

y = \frac{4 x ^{4} + 5}{x ^{2}}

(\partial)/(\partial x)(4-2x^2-y^2)

\frac{\partial}{\partial x} (4 - 2 x^{2} - y^{2})

derivative of e^{-bx^2}

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

tangent of y=x^2-3x+3(0.3)tangent of

y = x^{2} - 3 x + 3 (0.3)

inverse oflaplace 1/(s(s^2+49))inverse laplace

\frac{1}{s ( s ^{2} + 49 )}

Frequently Asked Questions (FAQ)

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