18.6k views
3 votes
Find the derivative, if it exists, of the function at the specified point.() = ^2 − 4 + 3 at = 1

1 Answer

6 votes

Find the derivate of the expression using the general procedure to find the derivative of a polynomial function. To do it, multiply the term times the exponent of the variable and raise the variable to the original exponent minus 1:


\begin{gathered} f(x)=x^2-4x+3 \\ f^(\prime)(x)=2x^(2-1)-4x^(1-1)-0\cdot3 \\ f^(\prime)(x)=2x-4 \end{gathered}

Now that we have the expression for the derivative of the function, evaluate it at the value of x that is in the question statement, which is 1:


f^(\prime)(1)=2(1)-4=2-4=-2

The derivative of the function is -2 at x=1.

User Niels Uitterdijk
by
8.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories