Final answer to the problem
$\frac{4}{7\sqrt[7]{x^{3}}}$
Got another answer? Verify it here!
Step-by-step Solution
How should I solve this problem?
- Choose an option
- 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
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
- Load more...
Can't find a method? Tell us so we can add it.
1
The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
Learn how to solve problems step by step online.
$\frac{4}{7}x^{\left(\frac{4}{7}-1\right)}$
Learn how to solve problems step by step online. Find the derivative d/dx(x^(4/7)) using the power rule. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Applying the property of exponents, \displaystyle a^{-n}=\frac{1}{a^n}, where n is a number. Multiplying fractions \frac{4}{7} \times \frac{1}{x^{\left|-\frac{3}{7}\right|}}. Multiplying fractions \frac{4}{7} \times \frac{1}{\sqrt[7]{x^{3}}}.
Final answer to the problem
$\frac{4}{7\sqrt[7]{x^{3}}}$
