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Derivatives Practice Questions, Exercises of Mathematics

Mathematics

This document consists of practice and exercise questions related to the topic derivatives. This can help you to strengthen your knowledge and increase your calculation abilities.

Typology: Exercises

2022/2023

Available from 08/23/2023

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DERIVATIVES
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Download Derivatives Practice Questions and more Exercises Mathematics in PDF only on Docsity!

DERIVATIVES

DERIVATIVES 1. Find the derivative of each of the following functions: (i) 2x 3. (ii) ta +x); 4 x (iti) (ax? + 6)? (iv) [: - 4) [» + +} x 2x (v) x3(5 + 3x); (vi) onc? 2). 3 (viii) x°(3 — 6x”); (viii) [v= + 4 ; a 4x? -2x41_ (ix) x™(3 — 4x™); (x) i 3cosx+4sinx+1_ (xi) (xii) x" + ax + xP 4 + a eal; cosx , (xili) 5 sec x + 4 cos x; (xiv) 3 cot x + 5 cosec x; (xv) 4sinx+3cosx+2 (xvi) Vx (x- ) xv) ——————_;; XVI) cos x V2x (xvii) 2 tan x — 7 sec x; (xviii) “2 + cosx3 x x . . (3x? + 2)(x +5) (xix) —3 cotx sinx + 5 tanx cos x; (x) ——,——_.. x 2) Differentiate the following functions w.r.t. x: (i) (oad —5x+ 6) (oad + 2); (ii) (5-4 cos x) (1-2 tan x): (iii) cosec x cot x; (iv) (2 —5x + 6) sec x; (v) x°cot XS (vi) cos2x; 3) Differentiate the following functions w.r.t. x: g . axt4 x" =a" x + 3x-9 i ; ii ; iii) ———":: w) 4x-7 H) x-a (iti) x? 9x43 . sinx + x cosx . secx—-1 (iv) ———": (v) ————_:: (vi) ; px’ +qxtr xsinx — cosx secx+] cosx vatvx- _. (x-1)(x-2) (vii) (viii) Ja-Je ; (ix) (x3) (x4) sinx + cosx”