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SURA PUBLICATION-DIFFERENTIAL CALCUS - DIFFERENTIABILITY AND METHODS OF DIFFERENTIATION-ADDITIONAL PROBLEMS SECTION-C (3 MARKS)
- If f(x)=2x^(2)+3x-5, then prove that f'(0)+3f'(-1)=0
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- Show that f(x)=x^(2) is differentiable at x=1 and find f'(1).
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- Differentiate f(x)=e^(2x) from first principles.
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- If y=sqrt(x+1)+sqrt(x-1), prove that sqrt(x^(2)-1)(dy)/(dx)=1/2y
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- If x=asec^(3)theta " and " y=atan^(3)theta " find " (dy)/(dx) " at " t...
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- Differentiate log(1+x^(2)) with respect to tan^(-1)x.
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