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Popular Calculus >

derivative of sqrt(1+10x)-sqrt(1-3x)

Solution

derivative of

1 + 10 x - 1 - 3 x

Solution

\frac{5}{1 + 10 x} + \frac{3}{2 1 - 3 x}

Solution steps

\frac{d}{d x} (1 + 10 x - 1 - 3 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1 + 10 x) - \frac{d}{d x} (1 - 3 x)

\frac{d}{d x} (1 + 10 x) = \frac{5}{1 + 10 x}

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

= \frac{5}{1 + 10 x} - (- \frac{3}{2 1 - 3 x})

Simplify

= \frac{5}{1 + 10 x} + \frac{3}{2 1 - 3 x}

Graph

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f (x) = coth (x)

Frequently Asked Questions (FAQ)

What is the derivative of sqrt(1+10x)-sqrt(1-3x) ?
The derivative of sqrt(1+10x)-sqrt(1-3x) is 5/(sqrt(1+10x))+3/(2sqrt(1-3x))
What is the first derivative of sqrt(1+10x)-sqrt(1-3x) ?
The first derivative of sqrt(1+10x)-sqrt(1-3x) is 5/(sqrt(1+10x))+3/(2sqrt(1-3x))