madvitch4922 madvitch4922
  • 15-01-2020
  • Mathematics
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Differentiate Functions of Other Bases In Exercise, find the derivative of the function.
h(x) = 42x-3

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joaobezerra joaobezerra
  • 15-01-2020

Answer:

The derivative of the function is 42.

Step-by-step 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 [tex]a*x^{n}[/tex] is [tex]a*n*x^{n-1}[/tex]. 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.

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