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Popular >

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

Solution

derivative of

f (x) = 10 + x

Solution

\frac{1}{2 10 + x}

Solution steps

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

Apply the chain rule:

\frac{1}{2 10 + x} \frac{d}{d x} (10 + x)

= \frac{1}{2 10 + x} \frac{d}{d x} (10 + x)

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

= \frac{1}{2 10 + x} \cdot 1

Simplify

= \frac{1}{2 10 + x}

Popular Examples

tangent of f(x)=9+5x^2-2x^3,(1,12)tangent of

f (x) = 9 + 5 x^{2} - 2 x^{3}, (1, 12)

tangent of f(x)=x^3-3x^2+2x-2 tangent of

f (x) = x^{3} - 3 x^{2} + 2 x - 2

integral from 2 to 9 of 4/(8x-9)

\int_{2}^{9} \frac{4}{8 x - 9} d x

integral from 1 to 4 of (2x-2sqrt(x))

\int_{1}^{4} (2 x - 2 x) d x

tangent of f(x)=7+4x^2-2x^3,(1,9)tangent of

f (x) = 7 + 4 x^{2} - 2 x^{3}, (1, 9)

Frequently Asked Questions (FAQ)

What is the derivative of f(x)=sqrt(10+x) ?
The derivative of f(x)=sqrt(10+x) is 1/(2sqrt(10+x))
What is the first derivative of f(x)=sqrt(10+x) ?
The first derivative of f(x)=sqrt(10+x) is 1/(2sqrt(10+x))