Question

Find the slope of the line tangent to the curve y=x^(2) at the point ((7)/(6),(49)/(36)) and then find the corresponding equation of the tangent line.

Name: find the slope of the line tangent to the curve yx2 at the point 764936 and then find the corresponding equation of the tangent line 58554
Uploaded: 2022-02-13T06:55:05-08:00
Duration: 9 min 16 s
Channel: Ravi Rajput
Description: find the slope of the line tangent to the curve yx2 at the point 764936 and then find the corresponding equation of the tangent line 58554

          Find the slope of the line tangent to the curve y=x^(2) at the point ((7)/(6),(49)/(36)) and then find the corresponding equation of the tangent line.

Added by Jenna C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Ravi Rajput

02/13/2022

Step 1

The derivative of y=x^2 is given by the power rule, which states that if y=x^n, then the derivative dy/dx = nx^(n-1). Applying the power rule to y=x^2, we get dy/dx = 2x. Show more…

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Find the slope of the line tangent to the curve y=x^(2) at the point ((7)/(6),(49)/(36)) and then find the corresponding equation of the tangent line.