KveonB451153 KveonB451153
  • 25-10-2022
  • Mathematics
contestada

Find the derivatives of the following using the different rules.1. f(x) = -67x

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IsmahanX317431 IsmahanX317431
  • 25-10-2022

To derive f(x) = -67x, we can use the Power Rule.

[tex]x^n\Rightarrow nx^{n-1}[/tex]

In the given term, our n = 1 since x¹ = x. So, following the power rule, we will multiply the exponent 1 to the constant term -67, then subtract 1 from the exponent 1, hence x¹ will become x⁰.

[tex]-67x^1\Rightarrow1(-67)(x^{1-1})[/tex]

Then, simplify.

[tex]-67x^0\Rightarrow-67(1)=-67[/tex]

Therefore, the first derivative of f(x) = -67x is -67.

[tex]f^{\prime}(x)=-67[/tex]

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