What is the derivative of 4x^3+5x ?

The derivative of 4x^3+5x is 12x^2+5

What is the first derivative of 4x^3+5x ?

The first derivative of 4x^3+5x is 12x^2+5

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\frac{d}{d x} (4 x^{3} + 5 x)

12 x^{2} + 5

Solution steps

\frac{d}{d x} (4 x^{3} + 5 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (5 x)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

\frac{d}{d x} (5 x) = 5

= 12 x^{2} + 5

\frac{d}{d x} (arctan (\frac{5}{x}))

\frac{x ^{2} + 2 x - 2}{( x + 1 ) ^{2}}

\frac{\partial}{\partial z} (x z e^{yz})

y^{^{'}} = 0.23 y - 0.0005 y^{2}

\int_{0}^{60} (60 - y)^{2} d y

What is the derivative of 4x^3+5x ?
The derivative of 4x^3+5x is 12x^2+5
What is the first derivative of 4x^3+5x ?
The first derivative of 4x^3+5x is 12x^2+5