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Popular >

derivative of cos(x^2+5)-x^3

Solution

derivative of

cos (x^{2} + 5) - x^{3}

Solution

- sin (x^{2} + 5) \cdot 2 x - 3 x^{2}

Solution steps

\frac{d}{d x} (cos (x^{2} + 5) - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (x^{2} + 5)) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (cos (x^{2} + 5)) = - sin (x^{2} + 5) \cdot 2 x

\frac{d}{d x} (x^{3}) = 3 x^{2}

= - sin (x^{2} + 5) \cdot 2 x - 3 x^{2}

Popular Examples

derivative of ln((5+e^x/(5-e^x)))

\frac{d}{d x} (ln (\frac{5 + e ^{x}}{5 - e ^{x}}))

limit as x approaches infinity of (arctan(x))/(1/x-4)

x \to \infty lim (\frac{arctan ( x )}{\frac{1}{x} - 4})

derivative of-(x^7/7+(x^5)/5)

\frac{d}{d x} (- \frac{x ^{7}}{7} + \frac{x ^{5}}{5})

derivative of y=(3x-2)/(2x+1)derivative of

y = \frac{3 x - 2}{2 x + 1}

(\partial)/(\partial x)((2y)/((x+y)^2))

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

Frequently Asked Questions (FAQ)

What is the derivative of cos(x^2+5)-x^3 ?
The derivative of cos(x^2+5)-x^3 is -sin(x^2+5)*2x-3x^2
What is the first derivative of cos(x^2+5)-x^3 ?
The first derivative of cos(x^2+5)-x^3 is -sin(x^2+5)*2x-3x^2