ECAT Mathematics MCQS Differentiation Online Test

5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-28-5-csin-5-csqrt-x-29-5-c-29-equals-3-a_-_5-c-28-0-crac-7-b-7-b-5-ccos-5-csqrt-x-7-d-7-d-7-b-7-b-2-5-csqrt-x-7-d-7-d-5-c-29,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-28-7-b-5-ccos-5-e-7-b-1-7-d-7-d-3-x-29-3-d-3-a-5-c-29_-_5-c-28-0-crac-7-b-7-b-3-7-d-7-d-7-b-7-b-5-csqrt-7-b-1-9-7-bx-5-e-2-7-d-7-d-7-d-7-d-5-c-29,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-28-7-b-5-csinh-5-e-7-b-1-7-d-7-dx-29-5-c-29-is-equal-to-3-a_-_5-c-28-0-crac-7-b-1-7-d-7-b-7-b-5-csqrt-7-b-1-2-b-7-bx-5-e-2-7-d-7-d-7-d-7-d-5-c-29,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-5-cleft-28-7-b-0-crac-7-b-1-7-d-7-b-7-bax-2-b-b-7-d-7-d-7-d-0-dight-29-5-c-29-equals-3-a_-_5-c-28-0-crac-7-b-7-b-a-7-d-7-d-7-b-7-b-7-b-7-b-28-ax-2-b-b-29-7-d-5-e-2-7-d-7-d-7-d-5-c-29,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-5-cleft-28-7-b-0-crac-7-b-7-b-7-bx-5-e-2-7-d-4-7-d-7-d-7-b-7-bx-2-7-d-7-d-7-d-0-dight-29-5-c-29-equals-3-a_-_1,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-7-b-28-7-bx-5-e-3-7-d-2-b-1-29-5-e-9-7-d-3-d-5-c-29_-_5-c-289-7-b-28-7-bx-5-e-3-7-d-2-b-1-29-5-e-8-7-d-283-7-bx-5-e-2-7-d-29-5-c-29,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-7-b-28-ax-2-b-b-29-5-en-7-d-3-d-na-7-b-28-ax-2-b-b-29-5-e-7-bn-1-7-d-7-d-5-c-29-2-c-where-n-is-any-rational-number-is-called-rule_-_power-rule,5-c-28-0-crac-7-bd-7-d-7-b-7-bdx-7-d-7-d-7-be-5-e-7-bx-2-b-h-7-d-7-d-5-c-29-3-d-3-a_-_5-c-28-7-be-5-e-7-bx-2-b-h-7-d-7-d-5-c-29,5-c-28-7-b-5-cleft-7-c-7-bfog-28-x-29-7-d-0-dight-7-c-5-e-27-7-d-3-d-3-f-5-c-29_-_5-c-28-7-bf-5-e-27-7-d-5-c-7-b-g-28-x-29-09-imes-7-bg-5-e-27-7-d-28-x-29-5-c-7-d-5-c-29,5-c-28-7-ba-0-7-d-2-b-7-ba-1-7-dx-2-b-7-ba-2-7-d-7-bx-5-e-2-7-d-2-b-2-b-7-ba-n-7-d-7-bx-5-en-7-d-2-b-5-c-29-is-3-a_-_power-series,if-5-c-28-f-28-c-29-5-cle-f-28-x-29-5-c-29-for-all-5-c-28-x-0-barepsilon-28-c-5-cdelta-x-2-cc-2-b-5-cdelta-x-29-2-c-5-c-29then-the-function-f-is-said-to-have-a-2-fan-at-x-3-dc_-_relative-minima,if-5-c-28-f-28-x-2-b-h-29-3-d-5-ccos-28-x-2-b-h-29-5-c-29then-5-c-28-7-bf-5-e-27-7-d-28-x-29-5-c-29-equals-3-a_-_sin-x,if-5-c-28-x-3-d-a-5-csin-09-heta-5-c-29-2-c-5-c-28-y-3-d-a-5-ccos-09-heta-5-c-29then-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-5-c-29-3-d_-_tan-5-c-28-09-heta-5-c-29,if-5-c-28-y-3-d-0-crac-7-b-1-7-d-7-b-7-b-7-bx-5-e-2-7-d-7-d-7-d-5-c-29-2-c-then-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-5-c-29-at-5-c-28-x-3-d-1-5-c-29-is-3-a_-_2,if-5-c-28-y-3-d-5-ccos-x-2-c-5-c-2-cu-3-d-5-csin-x-5-c-2-cthen-5-c-2-c-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdu-7-d-7-d-3-d-1-5-c-29_-_tan-x,if-s-is-the-distance-travled-by-a-body-at-time-t-2-c-the-velocity-is-given-by-the-expression-3-a_-_5-c-28-0-crac-7-b-7-bds-7-d-7-d-7-b-7-bdt-7-d-7-d-5-c-29,if-x-3-d-a-28-t-sint-29-2-c-y-3-da-281-2-bcost-29-2-c-then-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-5-c-29-is-given-by-3-a_-_5-c-28-5-ccot-0-crac-7-b-1-7-d-7-b-2-7-d-5-c-29,if-y-3-d-e-3-csup-3-e-2-x-3-c-2-fsup-3-e-2-c-then-y-3-csub-3-ex-3-c-2-fsub-3-e-is-equal-to_-_4-e-3-csup-3-e-2-x-3-c-2-fsup-3-e,implies-f-is-neither-increasing-nor-decreasing-function-at-the-point-x-3-csub-3-e-1-3-c-2-fsub-3-e_-_5-c-28-7-bf-5-e-27-7-d-28-7-bx-1-7-d-29-3-d-0-5-c-29,the-derivation-of-5-c-28-5-csqrt-x-5-c-29-at-5-c-28-x-3-d-a-5-c-29-is-3-a_-_5-c-28-0-crac-7-b-1-7-d-7-b-7-b-2-5-csqrt-4-7-d-7-d-5-c-29,the-notation-used-by-lagrange-for-derivation-is-3-a_-_5-c-28-7-bf-5-e-27-7-d-28-x-29-5-c-29,the-symbol-5-c-28-0-crac-7-b-7-bdy-7-d-7-d-7-b-7-bdx-7-d-7-d-5-c-29-is-used-for-the-derivation-of-3-a_-_x-with-respect-to-x