Question

Finding Higher-Order Derivatives In Exercise, find the second derivative of the function.

f(x) = log10 x

Answer 1

Explanation:

Given is a function in f as

`f(x) = log_(10)  x`

We can change base to e for our convenience for finding derivatives

`f(x) = log_(e)  x ( log_(10)  e)`

The second term is a constant with value = 0.434294

So f(x) = 0.434294 ln x

Now differentiate with respect to x two times

I derivative =
`f'(x)  = (0.434294)/(x) \\f`

Note: We can leave as log e to base 10 also without converting into actual values.