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Popular >

derivative of f(x)=sqrt(5x+1)

Solution

derivative of

f (x) = 5 x + 1

Solution

\frac{5}{2 5 x + 1}

Solution steps

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

Apply the chain rule:

\frac{1}{2 5 x + 1} \frac{d}{d x} (5 x + 1)

= \frac{1}{2 5 x + 1} \frac{d}{d x} (5 x + 1)

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

= \frac{1}{2 5 x + 1} \cdot 5

Simplify

\frac{1}{2 5 x + 1} \cdot 5 : \frac{5}{2 5 x + 1}

= \frac{5}{2 5 x + 1}

Popular Examples

integral from 1/7 to 5 of 4xln(7x)

\int_{\frac{1}{7}}^{5} 4 x ln (7 x) d x

derivative of f(x)= 9/(x^2+5)derivative of

f (x) = \frac{9}{x ^{2} + 5}

derivative of f(x)=((tan(x)-1))/(sec(x))derivative of

f (x) = \frac{( tan ( x ) - 1 )}{sec ( x )}

integral from 0 to 3 of 1/(2x+3)

\int_{0}^{3} \frac{1}{2 x + 3} d x

derivative of x-ln(xe^x)

\frac{d}{d x} (x - ln (x e^{x}))

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(5x+1) ?
The derivative of f(x)=sqrt(5x+1) is 5/(2sqrt(5x+1))
What is the first derivative of f(x)=sqrt(5x+1) ?
The first derivative of f(x)=sqrt(5x+1) is 5/(2sqrt(5x+1))