Question

Work Problem 3 (20 Points) Differentiate the following: (a) f(x)=ln(7−9x 4

+x 5
) (b) 4x 3
y 7
−5x=x 4
+2y 3

Answer 1

Explanation:

f(x)=ln(7−9x⁴+x⁵)

ln rule:

`(d)/(dx)lnx = (1)/(x)`

What is inside the parenthesis is like your x, that polynomial will go on bottom but then you also need to multiply by the derivative of what is inside the parenthesis

f'(x) =
`(-36x^(4)+5x^(4) )/(7-9x^(4) +x^(5) )`