NEET (NTA)-National Eligibility cum Entrance Test (Medical) Physics Basic Mathematic for Physics-Differentiation Revision (Page 1 of 1)

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Meaning of Differentiation in Physics In modern mathematics, the differentiation is fundamental concepts for calculation. It can be define in two ways.

“The slope of a curve is derived by differentiation. ” It is geometrical definition.

Segment f Segment f: Segment [E, F] Segment i Segment i: Segment [G, H] of Triangle poly1 Segment g Segment g: Segment [H, I] of Triangle poly1 Segment h Segment h: Segment [I, G] of Triangle poly1 Vector u Vector u: Vector [A, B] Vector u Vector u: Vector [A, B] Vector v Vector v: Vector [C, D] Vector v Vector v: Vector [C, D] X text1 = “X” Y text1_1 = “Y” O text1_2 = “O” A text1_3 = “A” B text1_4 = “B” C text1_5 = “C” Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ Slope = frac {dy} {dx} =frac {AB} {BC} text2 = “Slope = frac {dy} {dx} =frac {AB} {BC} “ a Straight Line in XY – Plane

In figure a straight line in XY – plane is shown.

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Fundamental rules of Differentiation: Derivation with respect to of constant C is,

Let a function, , where C is a constant and is a function of , then derivation of the function with respect to ,

If , where, and are functions of , then differentiation of with respect to is given as,

If where and are functions of , then differentiation of with respect to is given as,

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