`y = sqrt(1 + x^3), (2, 3)` Find an equation of the tangent line to the curve at the given point.

Expert Answers

An illustration of the letter 'A' in a speech bubbles

Slope of a tangent line to a function at a point is equal to the derivative of the function at that point.




Slope (m) at (2,3) = (3*2^2)/(2*3) = 2` `

Equation of tangent line can be found by using point slope form of the line.





Approved by eNotes Editorial Team
Soaring plane image

We’ll help your grades soar

Start your 48-hour free trial and unlock all the summaries, Q&A, and analyses you need to get better grades now.

  • 30,000+ book summaries
  • 20% study tools discount
  • Ad-free content
  • PDF downloads
  • 300,000+ answers
  • 5-star customer support
Start your 48-Hour Free Trial