What is the derivative of 4x^4-3x^3-30 ?

The derivative of 4x^4-3x^3-30 is 16x^3-9x^2

What is the first derivative of 4x^4-3x^3-30 ?

The first derivative of 4x^4-3x^3-30 is 16x^3-9x^2

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\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

16 x^{3} - 9 x^{2}

Solution steps

\frac{d}{d x} (4 x^{4} - 3 x^{3} - 30)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{4}) - \frac{d}{d x} (3 x^{3}) - \frac{d}{d x} (30)

\frac{d}{d x} (4 x^{4}) = 16 x^{3}

\frac{d}{d x} (3 x^{3}) = 9 x^{2}

\frac{d}{d x} (30) = 0

= 16 x^{3} - 9 x^{2} - 0

Simplify

= 16 x^{3} - 9 x^{2}

\int (1 - cos (2 x)) d x

\int \frac{x}{( x ^{2} + 6 x + 13 )} d x

x \to 2 lim (e^{2})

y^{^{'''}} - y^{^{''}} - 20 y^{^{'}} = 0

\int \frac{1}{( 1 - x ^{2} )} d x

What is the derivative of 4x^4-3x^3-30 ?
The derivative of 4x^4-3x^3-30 is 16x^3-9x^2
What is the first derivative of 4x^4-3x^3-30 ?
The first derivative of 4x^4-3x^3-30 is 16x^3-9x^2