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Popular >

derivative of f(x)=sqrt(x)+\sqrt[7]{x}

Solution

derivative of

f (x) = x + 7 x

Solution

\frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}}

Solution steps

\frac{d}{d x} (x + 7 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x) + \frac{d}{d x} (7 x)

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

\frac{d}{d x} (7 x) = \frac{1}{7 x ^{\frac{6}{7}}}

= \frac{1}{2 x} + \frac{1}{7 x ^{\frac{6}{7}}}

Graph

Popular Examples

derivative of-x^3+3x

\frac{d}{d x} (- x^{3} + 3 x)

(\partial)/(\partial x)((x+y)^5+(x-y)^5)

\frac{\partial}{\partial x} ((x + y)^{5} + (x - y)^{5})

tangent of f(x)=tan^2(x),\at x=-pi/4 tangent of

f (x) = tan^{2} (x), at x = - \frac{π}{4}

derivative of f(x)=13xe^x derivative of

f (x) = 13 x e^{x}

derivative of y=\sqrt[3]{1+8x}derivative of

y = 3 1 + 8 x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(x)+\sqrt[7]{x} ?
The derivative of f(x)=sqrt(x)+\sqrt[7]{x} is 1/(2sqrt(x))+1/(7x^{6/7)}
What is the first derivative of f(x)=sqrt(x)+\sqrt[7]{x} ?
The first derivative of f(x)=sqrt(x)+\sqrt[7]{x} is 1/(2sqrt(x))+1/(7x^{6/7)}