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

The derivative of 5x^3+3x is 15x^2+3

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

The first derivative of 5x^3+3x is 15x^2+3

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

15 x^{2} + 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5 x^{3}) = 15 x^{2}

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

= 15 x^{2} + 3

\frac{\partial}{\partial x} (\frac{x ^{3} + 5}{y ^{3} - 1})

\frac{d}{d x} (arccos (e^{3 x}))

\frac{1}{x ^{3}}

\int sec (x) tan (x) - 4 x d x

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

What is the derivative of 5x^3+3x ?
The derivative of 5x^3+3x is 15x^2+3
What is the first derivative of 5x^3+3x ?
The first derivative of 5x^3+3x is 15x^2+3