What is the derivative of (x^4)/6-10x ?

The derivative of (x^4)/6-10x is (2x^3)/3-10

What is the first derivative of (x^4)/6-10x ?

The first derivative of (x^4)/6-10x is (2x^3)/3-10

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derivative of

\frac{x ^{4}}{6} - 10 x

\frac{2 x ^{3}}{3} - 10

Solution steps

\frac{d}{d x} (\frac{x ^{4}}{6} - 10 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{4}}{6}) - \frac{d}{d x} (10 x)

\frac{d}{d x} (\frac{x ^{4}}{6}) = \frac{2 x ^{3}}{3}

\frac{d}{d x} (10 x) = 10

= \frac{2 x ^{3}}{3} - 10

\frac{d}{d x} (\frac{c ^{2} - x ^{2}}{c ^{2} + x ^{2}})

y = x sin (\frac{5}{x})

f (x) = \frac{cos ( x )}{2 + sin ( x )}

\int cos^{3} (8 - x) sin (8 - x) d x

\frac{d y}{d x}, x y = 5

What is the derivative of (x^4)/6-10x ?
The derivative of (x^4)/6-10x is (2x^3)/3-10
What is the first derivative of (x^4)/6-10x ?
The first derivative of (x^4)/6-10x is (2x^3)/3-10