Calculus Solutions Ex# 3.6

Q 1-2. Evaluaté the given limit without using L’Hopital rule, and then check that your answer is correct using L’Hopital rule. : 1. (a)         and Solution using L’Hopital rule     Applying L’Hopital rule     1 (b)     Solution using L ‘Hopital rule     Applying L ‘Hopital rule … Read more

Calculus Solutions EX # 3.5

Summary: Local linear appronimation of at : Local linear appronimation of at :     Let then     Differentials:     Measurement errer of :     Propagated error of :     Q.1 (a) use formula (1) to obtain the local linear approximation of at . (b) Use formula (2) to rewrite the … Read more

Calculus Solutions Ex # 3.4

Q1. Equation (a) Given that , find when (b) Given that’ , find when . . Solution: (a)     Differentiating w.r.t’ ‘     (b)     Differentiating w.r.t.       Q.02 Equation a) Given that find when (b) Given that , find when Solution: (a)         (b) from (1) … Read more

Calculus Solutions Ex#3.1

Q.01 (a) Find by differentiating implicitly. Solution:     Differentiating w.r.t     (b) Solving (1) for     Differentiating w.r.t                     (c) From part (a)     Substituting (from part(b)) into above equation, we have     Q.02 Find for by differentiating implicitly. Solution: (a) … Read more