If y = ` f(x) ^ phi(x) `, then `dy/dx` is ______ - Vidyadip

MCQ

If y = `{f(x)}^{phi(x)}`, then `dy/dx` is ______

A
None of these
B
`phi/f ((df)/dx) + (dphi)/dx log f`
✓
`e^(phi log f){phi/f . (df)/dx + logf. (dphi)/dx}`
D
`e^(phi log f) {phi f^'/f + phi^' logf^'}`

✓

Answer

Correct option: C.

`e^(phi log f){phi/f . (df)/dx + logf. (dphi)/dx}`

C

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