Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative using the quotient rule
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Integrate by parts
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The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
Learn how to solve differential calculus problems step by step online.
$\frac{1}{\frac{\sqrt{x}}{y+2}}\frac{d}{dx}\left(\frac{\sqrt{x}}{y+2}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule d/dx(ln((x^(1/2))/(y+2))). The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If f(x)=ln\:a (where a is a function of x), then \displaystyle f'(x)=\frac{a'}{a}. Divide fractions \frac{1}{\frac{\sqrt{x}}{y+2}} with Keep, Change, Flip: a\div \frac{b}{c}=\frac{a}{1}\div\frac{b}{c}=\frac{a}{1}\times\frac{c}{b}=\frac{a\cdot c}{b}. The derivative of a function multiplied by a constant (\frac{1}{y+2}) is equal to the constant times the derivative of the function. Multiplying fractions \frac{y+2}{\sqrt{x}} \times \frac{1}{y+2}.
