Question

Find the tangent to the curve y=3x^2+x+4 at x=3.

(a) 19

(b) 1.9

(c) 18

(d) 16

The question was posed to me by my college director while I was bunking the class.

I want to ask this question from Derivatives Application in chapter Application of Derivatives of Mathematics – Class 12

Answer 1

Correct option is (a) 19

The best I can explain: The slope of the tangent at x=3 is given by

\(\frac{dy}{dx}\)]x=3= 6x+1]x=3=18+1=19.