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

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

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

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

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

- 3 x^{2} + 4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (5) = 0

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

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

= 0 + 4 - 3 x^{2}

Simplify

= - 3 x^{2} + 4

x^{2} - 1, - 1, 6

y = (5 x^{4} - 3 x^{3}) (3 x^{2} - 7 x^{3})

\int \frac{3 z ^{2}}{y} d y

- 5 x^{3} - 1

\int 2 cos (x) d x

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