Related InterviewSolutions

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• Find the derivative of `sqrt(tanx)` using first principles.
• If f(x) = { `sin[x] /[x],[x] != 0 ; 0, [x] = 0}` , Where[.] denotes the greatest integer function, then `lim_(x rarr 0) f(x)` is equal toA. 1B. 0C. `-1`D. Does not exist
• `lim_(x->1)[(2x-3)(sqrtx-1)]/[2x^2+x-3]`A. `1/10`B. `-1/10`C. 1D. None of these
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• If `y=(1)/(3x^(3))` then prove that `3y+x(dy)/(dx)=0`.