class 12

Math

Calculus

Application of Derivatives

Consider $f(x)=tan_{−1}(1−sinx1+sinx ),x∈(0,2π )˙$A normal to $y=f(x)$at $x=6π $also passes through the point:

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Find the rate of change of the area of a circle with respect to its radius r when(a) $r=3cm$ (b) $r=4cm$

Use differential to approximate $36.6 $

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