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Popular >

derivative of y=sqrt(x)-2\sqrt[3]{x}

Solution

derivative of

y = x - 2 3 x

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Graph

Popular Examples

(dP)/(dt)=P-P^2

\frac{d P}{d t} = P - P^{2}

derivative of (2)(e^{3sqrt(x)})derivative of

(2) (e^{3 x})

implicit (dy)/(dx),x^2+xy+y^2=7 implicit derivative

\frac{d y}{d x}, x^{2} + x y + y^{2} = 7

integral from 0 to pi/3 of 2sec^2(x)

\int_{0}^{\frac{π}{3}} 2 sec^{2} (x) d x

area f(x)=sqrt(x)+3,g(x)= 1/2 x+3 area

f (x) = x + 3, g (x) = \frac{1}{2} x + 3

Frequently Asked Questions (FAQ)

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