What is the derivative of 2sqrt(x)-3\sqrt[3]{x} ?

The derivative of 2sqrt(x)-3\sqrt[3]{x} is 1/(sqrt(x))-1/(x^{2/3)}

What is the first derivative of 2sqrt(x)-3\sqrt[3]{x} ?

The first derivative of 2sqrt(x)-3\sqrt[3]{x} is 1/(sqrt(x))-1/(x^{2/3)}

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\frac{d}{d x} (2 x - 3 3 x)

\frac{1}{x} - \frac{1}{x ^{\frac{2}{3}}}

Solution steps

\frac{d}{d x} (2 x - 3 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) - \frac{d}{d x} (3 3 x)

\frac{d}{d x} (2 x) = \frac{1}{x}

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

= \frac{1}{x} - \frac{1}{x ^{\frac{2}{3}}}

\frac{d}{d x} (a sin (x) + b cos (x))

\int \frac{ln ( x ^{7} )}{x} d x

\int \frac{1}{( 4 - x ) ^{2}} d x

(y) d x - (x + y^{2} - x^{2}) d y = 0

(ln (cos (x)))^{^{'}}

What is the derivative of 2sqrt(x)-3\sqrt[3]{x} ?
The derivative of 2sqrt(x)-3\sqrt[3]{x} is 1/(sqrt(x))-1/(x^{2/3)}
What is the first derivative of 2sqrt(x)-3\sqrt[3]{x} ?
The first derivative of 2sqrt(x)-3\sqrt[3]{x} is 1/(sqrt(x))-1/(x^{2/3)}