-
A.
\(\frac {dy}{dx} = \frac {10x^{5/3}}{3} - \frac {8x^{2/3}}{3}\)
-
B.
\(\frac {dy}{dx} = \frac {10x^{2/3}}{3} - \frac {8x^{5/3}}{3}\)
-
C.
\(\frac {dy}{dx} = \frac {10x^{5/3}}{3} - \frac {8x^{5/3}}{3}\)
-
D.
\(\frac {dy}{dx} = \frac {10x^{2/3}}{3} - \frac {8x^{2/3}}{3}\)
Correct Answer: Option B
Explanation
y = \(\sqrt[3]{x^2(2x - x^2)} = x^{2/3} (2x - x^2)\)
= \(2x^{5/3} - x^{8/3}\)
Now, we can differentiate the function
\(\therefore \frac {dy}{dx} = \frac {10x^{2/3}}{3} - \frac {8x^{5/3}}{3}\)
There is an explanation video available below.
Report an Error
Ask A Question
Download App
Explanation Video
Quick Questions
Contributions ({{ comment_count }})
Please wait...
Modal title
Report
Block User
{{ feedback_modal_data.title }}