Question

Differentiate Functions of Other Bases In Exercise, find the derivative of the function.

h(x) = 42x-3

Answer 1

The derivative of the function is 42.

Explanation:

The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.

The derivative of a constant is 0. The derivative of 3 is 0, for example.

The derivative of
`a*x^(n)` is
`a*n*x^(n-1)`. The derivative of 42x is 42, for example.

So, in this question, we have that:

h(x) = 42x-3

h'(x) = 42

So the derivative of the function is 42.