Final answer to the problem
$-\frac{11}{2}\sqrt{y^{9}}$
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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
- Load more...
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1
Simplifying
$\frac{d}{dy}\left(-\sqrt{y^{11}}\right)$
Learn how to solve differential calculus problems step by step online.
$\frac{d}{dy}\left(-\sqrt{y^{11}}\right)$
Learn how to solve differential calculus problems step by step online. Find the derivative using the quotient rule ((-y^(3/2))^3)/(y^(-1/3)^3). Simplifying. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Multiply the fraction and term in - \left(\frac{11}{2}\right)\sqrt{y^{9}}.
Final answer to the problem
$-\frac{11}{2}\sqrt{y^{9}}$
