What is the derivative of-84x+37/2 x^2-(x^4/4) ?

The derivative of-84x+37/2 x^2-(x^4/4) is -84+37x-x^3

What is the first derivative of-84x+37/2 x^2-(x^4/4) ?

The first derivative of-84x+37/2 x^2-(x^4/4) is -84+37x-x^3

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\frac{d}{d x} (- 84 x + \frac{37}{2} x^{2} - \frac{x ^{4}}{4})

- 84 + 37 x - x^{3}

Solution steps

\frac{d}{d x} (- 84 x + \frac{37}{2} x^{2} - \frac{x ^{4}}{4})

Simplify

- 84 x + \frac{37}{2} x^{2} - \frac{x ^{4}}{4} : - 84 x + \frac{37 x ^{2}}{2} - \frac{x ^{4}}{4}

= \frac{d}{d x} (- 84 x + \frac{37 x ^{2}}{2} - \frac{x ^{4}}{4})

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (84 x) + \frac{d}{d x} (\frac{37 x ^{2}}{2}) - \frac{d}{d x} (\frac{x ^{4}}{4})

\frac{d}{d x} (84 x) = 84

\frac{d}{d x} (\frac{37 x ^{2}}{2}) = 37 x

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

= - 84 + 37 x - x^{3}

\int cos (x) sin (3 x) - 4 sin (x) d x

\frac{( x + 11 )}{( x - 11 )}

\int_{1}^{\infty} 41 \frac{e ^{- x}}{x} d x

2 x^{2} y + x^{3} \frac{d y}{d x} = 1

x \to 7 lim (e^{x - 7})

What is the derivative of-84x+37/2 x^2-(x^4/4) ?
The derivative of-84x+37/2 x^2-(x^4/4) is -84+37x-x^3
What is the first derivative of-84x+37/2 x^2-(x^4/4) ?
The first derivative of-84x+37/2 x^2-(x^4/4) is -84+37x-x^3