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Dear Student, Subtangent is the projection of tangent on the axis. Similarly, Subnormal is the the projection of normal on the axis. Thanks.

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If C1, C2 & C3 are constants then by applying chain rule, the derivative of the given eqn. will be dy/dx= 3C1(e^3x) + 2C2(e^2x) + C3(e^x)

Dear Student, for the limit of function to be exists, Both the Right hand and left hand limit should exists as well as they should be equal. Hence for the given case, limit will not exists. Thanks.

Taking log of both sides we get Log y= logxlog5 Differentiating wrt x dy/dx *1/y=log 5*x. dy/dx=y/x log5 d

let f(X)=cos(cosx) then derivative of f(x) is -sin(cosx)*-sinx= sin(cosx)*sinx for maxima or minima derivative =0 hence sinx=0 or sin(cosx)=0 calculate the values of x now double derivative is...

Dear Student, Rate of change w.r.t to t of any quatity is the differenciation of that quantity w.r.t time. Here in the given equation, I think you might be asking about rate of change of inductance...

Dear Student, The domain of the function, y = cos -1 x is -1 <= x<=1. So Use this information to find the domain. Thanks.

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I think it is option D (does not exist) Because for the function to be differentiable at a point, the curve should be continuous and smooth... which means that slopes of both graphs should be equal...

to solve problems in differentials caluculus you will know the all formulas which is used in the differentials caluculus.oyu can choose simplest method in methods.

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