Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the slope of the tangent line to k(x)=3k(x) = 3 at x=14x = 14.\newlineWrite your answer as an integer or a fractions" target="_blank" class="backlink">fraction. Simplify any fractions.\newline____\newline

Full solution

Q. Find the slope of the tangent line to k(x)=3k(x) = 3 at x=14x = 14.\newlineWrite your answer as an integer or a fraction. Simplify any fractions.\newline____\newline
  1. Identify Function and Point: Identify the function and the point of interest. k(x)=3k(x) = 3 is a constant function. We need the slope of the tangent line at x=14x = 14.
  2. Calculate Derivative of k(x)k(x): Calculate the derivative of k(x)k(x). The derivative of a constant function is 00. Therefore, k(x)=0k'(x) = 0.
  3. Evaluate Derivative at x=14x = 14: Evaluate the derivative at x=14x = 14.\newlineSince k(x)=0k'(x) = 0 for all xx, k(14)=0k'(14) = 0.

More problems from Find the slope of a tangent line using limits