What is the derivative of f(x)=x^{19/9}+x^{10/9} ?

The derivative of f(x)=x^{19/9}+x^{10/9} is (19x^{10/9}+10x^{1/9})/9

What is the first derivative of f(x)=x^{19/9}+x^{10/9} ?

The first derivative of f(x)=x^{19/9}+x^{10/9} is (19x^{10/9}+10x^{1/9})/9

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derivative of

f (x) = x^{\frac{19}{9}} + x^{\frac{10}{9}}

\frac{19 x ^{\frac{10}{9}} + 10 x ^{\frac{1}{9}}}{9}

Solution steps

\frac{d}{d x} (x^{\frac{19}{9}} + x^{\frac{10}{9}})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{\frac{19}{9}}) + \frac{d}{d x} (x^{\frac{10}{9}})

\frac{d}{d x} (x^{\frac{19}{9}}) = \frac{19 x ^{\frac{10}{9}}}{9}

\frac{d}{d x} (x^{\frac{10}{9}}) = \frac{10 x ^{\frac{1}{9}}}{9}

= \frac{19 x ^{\frac{10}{9}}}{9} + \frac{10 x ^{\frac{1}{9}}}{9}

Apply rule

\frac{a}{c} \pm \frac{b}{c} = \frac{a \pm b}{c}

= \frac{19 x ^{\frac{10}{9}} + 10 x ^{\frac{1}{9}}}{9}

\int x z d y

\frac{\partial}{\partial x} (\frac{x - y}{x + y})

\frac{d}{d x} (15 x^{4} - 15 x^{2})

(u^{2} + u)^{3}

csc (3 x) cot (3 x)

What is the derivative of f(x)=x^{19/9}+x^{10/9} ?
The derivative of f(x)=x^{19/9}+x^{10/9} is (19x^{10/9}+10x^{1/9})/9
What is the first derivative of f(x)=x^{19/9}+x^{10/9} ?
The first derivative of f(x)=x^{19/9}+x^{10/9} is (19x^{10/9}+10x^{1/9})/9