Differentiation Ex 2.3 + 2.4, Exercises of Mathematics

Differentiation, as a fundamental concept in calculus, refers to the process of finding the derivative of a function, which represents the rate at which the function's value changes concerning its input

Typology: Exercises

2020/2021

Available from 10/22/2024

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@ Name: Class/Section: Time:40 Mints Test A Exercise) Differentiate w.r.t. ‘x’. Qi x'+2xe4¢x Sol: Let y 7 x’ + 2x3 +x? Differentiating w.r.t “x”, we have dy = dx ~ le vox 4 ax & + 2x° + x*) thle oy hehe pall ong ~ dy OI 429, +9, ©) = 4x471 4.9 x 3x37! 49x = 453 + Gx? + 2x Ans Punjab Group of Colleges Gujranwala Mathematics Part-II (Test Ch # 01) Roll No: (GUJ 17) 3 Q.2 x34+2x? +3 Sol: 3 2 +3 Let y = x? + 2x Differentiating w.r.t “x”, we have (RWP, MTN 15)(BHP 16)(D.G.K 17 G-D 3 dy d > } ra = ra 349x2 43 3 ds oo ed 2 Bon = ax & )+2q (x) +4, 3) a 35-1 =—3x 41 + 2x > x* +0 33 =—-3x7 + 2x = x? d = ra = ~3x~~3x? Ans atx Q.3 ae (MTN 15)(LHR 14)(RWP 16)(GUJ 17) Sol: 4 Let y = sat a-x Differentiating w.r.t “x”, we have dy =) dx dx \a-x Scanned with CamScanner