Final answer to the problem
$\frac{-4}{x\sqrt{49x^{16}-1}\sqrt{\mathrm{arccsc}\left(7x^8\right)}}$
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.
$\frac{1}{2}\mathrm{arccsc}\left(7x^8\right)^{-\frac{1}{2}}\frac{d}{dx}\left(\mathrm{arccsc}\left(7x^8\right)\right)$
Learn how to solve problems step by step online. Find the derivative of arccsc(7x^8)^(1/2). The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Taking the derivative of arccosecant. The power of a product is equal to the product of it's factors raised to the same power. Multiplying fractions \frac{1}{2} \times \frac{-1}{7x^8\sqrt{49x^{16}-1}}.
Final answer to the problem
$\frac{-4}{x\sqrt{49x^{16}-1}\sqrt{\mathrm{arccsc}\left(7x^8\right)}}$
