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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
Q.07 Solution: Given Equation of tangent line Q.08 , find an equation for the tangent line to the graph of at . Solution: Given Equation of tangent line Q.09 Use definition 2.2 .1 to find and then find the tangent line to … Read more
Q.01 Solution: We shall find the instantaneous velocity when From the graph, we see thatat at Instantaneous velocity at is equal to the slope of the tangent line at Q.02 Solution: We shall find instantaneous velocity at and .From the graph, we see thatat at Instantaneous … Read more