What is the derivative of (C(2x^2+(288)/x)) ?

The derivative of (C(2x^2+(288)/x)) is C(4x-(288)/(x^2))

What is the first derivative of (C(2x^2+(288)/x)) ?

The first derivative of (C(2x^2+(288)/x)) is C(4x-(288)/(x^2))

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\frac{d}{d x} ((C) (2 x^{2} + \frac{288}{x}))

C (4 x - \frac{288}{x ^{2}})

Solution steps

\frac{d}{d x} ((C) (2 x^{2} + \frac{288}{x}))

Treat

C

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= C \frac{d}{d x} (2 x^{2} + \frac{288}{x})

Apply the Sum/Difference Rule:

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

= C (\frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (\frac{288}{x}))

\frac{d}{d x} (2 x^{2}) = 4 x

\frac{d}{d x} (\frac{288}{x}) = - \frac{288}{x ^{2}}

= C (4 x - \frac{288}{x ^{2}})

\frac{p ^{3} - 7 p ^{2} + 10 p + 30}{( p - 3 ) ( p + 1 )}

lo g_{10} (4 x)

(1, 2, 3 + 4, - 3, - 1) x (- 5, - 3, 5 - (- 2), 1, 6)

\frac{n ^{2} ( n + 1 ) ^{2}}{3}

\frac{( 2 x + 3 ) ^{2} - x ^{4}}{2}

What is the derivative of (C(2x^2+(288)/x)) ?
The derivative of (C(2x^2+(288)/x)) is C(4x-(288)/(x^2))
What is the first derivative of (C(2x^2+(288)/x)) ?
The first derivative of (C(2x^2+(288)/x)) is C(4x-(288)/(x^2))