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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
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
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
Formulas: Derivatives of exponential and inverse trigonometric functions functions. If is a differentiable function of Q.03 Find . Solution: Differentiating w.r.t Now using formula Q.04 Find . Solution: Now using formula Q.05 Determine which the function in … Read more
Formulas: Derivatives of logarithmic functions. Generalized derivative formulas. Q.01 Find where . Solution: Differentiating w.r.t. Q.02 Find where . Solution: Differentiating w.r.t Q.03 Find where . Solution: Q.04 Find where . Solution: Differentiating w.r.t … Read more
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
Q.01 Solution: Given that and find Q.02 Solution: Given that and find . Formula Q.03 Let and (a) find and Solution: and Since Differentiating w.r.t. and Differentiating w.r.t Substituting … Read more
Fomulas: Derivatives of trigonometric functions Q.01 Find where Solution: differentiating w.r.t Q.02 Find where Solution: Q.03 Find where Solution: differentiating w.r.t Q.04 Find where Solution: differentiating wr.t (by using Chain rule) Chain rule: … Read more
Q.01-04 Compute the derivative of by (a) multiplying and then differentiating and (b) using the product rule. The product rule The quotient rule Solution: 1.(a ) differentiating w.r.t 1(b) Differentiating w.r.t (using product rule) 2. (a) … Read more
Q 01-08 Find . Q.01 Solution: Power rule: differentiating (1) w.r.t ————————————————– Q.02 differentiating w.r.t ————————————————– Q.03 differentiating w.r.t ————————————————– Q.04 differentiating w.r.t … Read more