What is the derivative of x^5-10/9 x^3+5/21 x ?

The derivative of x^5-10/9 x^3+5/21 x is 5x^4-(10x^2)/3+5/21

What is the first derivative of x^5-10/9 x^3+5/21 x ?

The first derivative of x^5-10/9 x^3+5/21 x is 5x^4-(10x^2)/3+5/21

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\frac{d}{d x} (x^{5} - \frac{10}{9} x^{3} + \frac{5}{21} x)

5 x^{4} - \frac{10 x ^{2}}{3} + \frac{5}{21}

Solution steps

\frac{d}{d x} (x^{5} - \frac{10}{9} x^{3} + \frac{5}{21} x)

Simplify

x^{5} - \frac{10}{9} x^{3} + \frac{5}{21} x : x^{5} - \frac{10 x ^{3}}{9} + \frac{5 x}{21}

= \frac{d}{d x} (x^{5} - \frac{10 x ^{3}}{9} + \frac{5 x}{21})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{5}) - \frac{d}{d x} (\frac{10 x ^{3}}{9}) + \frac{d}{d x} (\frac{5 x}{21})

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

\frac{d}{d x} (\frac{10 x ^{3}}{9}) = \frac{10 x ^{2}}{3}

\frac{d}{d x} (\frac{5 x}{21}) = \frac{5}{21}

= 5 x^{4} - \frac{10 x ^{2}}{3} + \frac{5}{21}

\frac{\partial}{\partial x} (4^{x})

x \to - 2 lim (4 - x^{2})

\frac{sin ( x ) - 1}{sin ( x ) + 4}

\int \frac{1}{f ( x )} d x

\int 1 - cos (2 t) d t

What is the derivative of x^5-10/9 x^3+5/21 x ?
The derivative of x^5-10/9 x^3+5/21 x is 5x^4-(10x^2)/3+5/21
What is the first derivative of x^5-10/9 x^3+5/21 x ?
The first derivative of x^5-10/9 x^3+5/21 x is 5x^4-(10x^2)/3+5/21