What is the derivative of 1/10 x^5-3/4 x^4+4/3 x^3 ?

The derivative of 1/10 x^5-3/4 x^4+4/3 x^3 is (x^4)/2-3x^3+4x^2

What is the first derivative of 1/10 x^5-3/4 x^4+4/3 x^3 ?

The first derivative of 1/10 x^5-3/4 x^4+4/3 x^3 is (x^4)/2-3x^3+4x^2

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\frac{d}{d x} (\frac{1}{10} x^{5} - \frac{3}{4} x^{4} + \frac{4}{3} x^{3})

\frac{x ^{4}}{2} - 3 x^{3} + 4 x^{2}

Solution steps

\frac{d}{d x} (\frac{1}{10} x^{5} - \frac{3}{4} x^{4} + \frac{4}{3} x^{3})

Simplify

\frac{1}{10} x^{5} - \frac{3}{4} x^{4} + \frac{4}{3} x^{3} : \frac{x ^{5}}{10} - \frac{3 x ^{4}}{4} + \frac{4 x ^{3}}{3}

= \frac{d}{d x} (\frac{x ^{5}}{10} - \frac{3 x ^{4}}{4} + \frac{4 x ^{3}}{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (\frac{x ^{5}}{10}) - \frac{d}{d x} (\frac{3 x ^{4}}{4}) + \frac{d}{d x} (\frac{4 x ^{3}}{3})

\frac{d}{d x} (\frac{x ^{5}}{10}) = \frac{x ^{4}}{2}

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

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

= \frac{x ^{4}}{2} - 3 x^{3} + 4 x^{2}

\frac{d}{d x} ((x^{2} + 1)^{3})

\frac{d}{d a} (1 + sin (a) + cos (a))

\frac{d}{d x} (\frac{100 ( x + 25 )}{x})

\int \frac{6 x - 12}{x ^{2}} d x

\frac{50000}{s ^{2}}

What is the derivative of 1/10 x^5-3/4 x^4+4/3 x^3 ?
The derivative of 1/10 x^5-3/4 x^4+4/3 x^3 is (x^4)/2-3x^3+4x^2
What is the first derivative of 1/10 x^5-3/4 x^4+4/3 x^3 ?
The first derivative of 1/10 x^5-3/4 x^4+4/3 x^3 is (x^4)/2-3x^3+4x^2