Final answer to the problem
Step-by-step Solution
How should I solve this problem?
- Find the derivative
- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- 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.
$\frac{1}{\sqrt{\frac{x-5}{x^4+4}}}\frac{d}{dx}\left(\sqrt{\frac{x-5}{x^4+4}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative of d/dx(ln(((x-5)/(x^4+4))^(1/2))). 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}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiplying fractions \frac{1}{\sqrt{\frac{x-5}{x^4+4}}} \times \frac{1}{2}. Since the exponent is negative, we can invert the fraction.
