Question

differentiate x^3(1-3x)^(1/4)

Answer 1

Product rule?

Answer 2

chain rule is not needed?

Answer 3

\[x^3(1-3x)^{1/4}\] yup product rule should do!

Answer 4

\[f'g+g'f\]

Answer 5

You will have to use chain rule as well inside the product rule

Answer 6

f=x^3 and g=(1-x)^1/4

Answer 7

yep

Answer 8

you can also use distributive property first and then use sum

Answer 9

\(\huge x^n (1 - ax^\frac{p}{q}) = x^n - ax^\frac{pn}{q} \)

then differentiate using power rule

Answer 10

\(\huge nx^{n-1} - (pn)ax^{\frac{pn}{q}-1} \)