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Popular >

derivative of f(x)=sqrt(7)x+sqrt(10x)

Solution

derivative of

f (x) = 7 x + 10 x

Solution

7 + \frac{5}{2 x}

Solution steps

\frac{d}{d x} (7 x + 10 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x) + \frac{d}{d x} (10 x)

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

\frac{d}{d x} (10 x) = \frac{5}{2 x}

= 7 + \frac{5}{2 x}

Popular Examples

f^{''}(x)=2,f^'(2)=5,f(3)=2

f^{^{''}} (x) = 2, f^{^{'}} (2) = 5, f (3) = 2

(\partial)/(\partial x)(36x^8y^5+8x^7y^3)

\frac{\partial}{\partial x} (36 x^{8} y^{5} + 8 x^{7} y^{3})

limit as x approaches 0+of (e^x+x)^{4/x}

x \to 0 + lim ((e^{x} + x)^{\frac{4}{x}})

integral from 0 to 1 of 4(1+sqrt(x))^8

\int_{0}^{1} 4 (1 + x)^{8} d x

integral of 0.6x^2-4.4x+60

\int 0.6 x^{2} - 4.4 x + 60 d x

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(7)x+sqrt(10x) ?
The derivative of f(x)=sqrt(7)x+sqrt(10x) is sqrt(7)+(sqrt(5))/(sqrt(2)\sqrt{x)}
What is the first derivative of f(x)=sqrt(7)x+sqrt(10x) ?
The first derivative of f(x)=sqrt(7)x+sqrt(10x) is sqrt(7)+(sqrt(5))/(sqrt(2)\sqrt{x)}