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SUBHASH PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -TWO MARKS QUESTIONS WITH ANSWERS
- If y = sin(log(e) x) prove that (dy)/(dx) = sqrt(1-y^2)/x
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- Find the derivative of y=x^(x) -2^(sinx) with respect to x.
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- Find the derivative of (e^x)/(sin x) w.r.t. x.
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- Find the derivative of e^(sin^(-1)x) w.r.t.x.
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- Differentiate (x + 1/x)^(x) w.r.to x.
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- If y = sqrt(((x-1)(x-2))/((x-3)(x-4)(x-5))) find (dy)/(dx)
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- Differentiate (x + 3)^(2) (x + 4)^(3)(x+5)^(4) w.r.to x.
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- If y = log(7)(logx) find (dy)/(dx).
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- Differentiate w.r.to x: sqrt(3x + 2)+1/(sqrt(2x^3 + 4))
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- If y = cos^(-1)(sinx) find (dy)/(dx).
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- If y = tan^(-1)((sin x)/(1+cos x)) find (dy)/(dx).
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- If y = sin^(-1) [(2^(x + 1))/(1 + 4^x)] find (dy)/(dx).
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- Differentiate sin^(2)x w.r.t e^(cos x)
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- If y = (3x^(2) - 9x + 5)^(9) find (dy)/(dx).
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- If y = sin ^(3) x + cos^(6) x find (dy)/(dx).
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- If y = (5x)^(3 cos 2x) find (dy)/(dx)
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- Differentiate w.r.to x. (log x)^(x).
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- Differentiate w.r.to x : x^(log x)
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- Differentiate (log x)^(logx) w.r.t x.
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- If y = sin^(-1)(xsqrtx) find (dy)/(dx)
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