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Differentiate the following w.r.t. x. a. `tan^3x` b. `tanx^2` c. `sin^2sqrtx` |
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Answer» a. Let `y=tan^3x=(tanx)^3`, `(dy)/(dx)=3(tan^2x)(sec^2x)` b. Let `y=tan(x^2)`, `(dy)/(dx)=sec^2(x^2)2x` c. Let `y=sin^2(sqrtx)=(sinsqrtx)^2` `(dy)/(dx)=2(sinsqrtx)cos(sqrtx)1/2x^(-1//2)=(1)/(2sqrtx)sin(2sqrtx)` |
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