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MCGROW HILL PUBLICATION-DIFFERENTIABILITY AND DIFFERENTIATION -EXAMPLES (LEVEL 2) Single Correct Answer Type Questions
- If y^(2)=P(x) is a polynomial of degree 3, then (d)/(dx)(y^(3)(d^(2)y)...
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- If f(x)=(1+x)^(n), then the value of f(0)+f'(0)+(1)/(2!)f''(0)+…+(1)/(...
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- If f(x)=x^(2)+(x^(2))/((1+x^(2)))+(x^(2))/((1+x^(2))^(2))+…+(x^(2))/((...
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- Let f(x)={{:(int(0)^(x){1+|1-t|}"dt",,"if "x gt 2),(5x-7,,"if "x le 2"...
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- Let f(x)=underset(k=1)pi(cos(2k-1)x+"i "sin(2k-1)x) then ("Re "f(x))''...
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- Let f(x) be defined for all x gt 0 and be continuous. Let f(x) satisfy...
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- If x=cos theta,y=sin^(3)theta, then ((dy)/(dx))^(2)+y""(d^(2)y)/(dx^(2...
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- If y=tan^(-1)""(1)/(1+x+x^(2))+tan^(-1)""(1)/(x^(2)+3x+3)+tan^(-1)""(1...
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- If f(x)=sqrt(x+2sqrt(2x-4))+sqrt(x-2sqrt(2x-4)) then
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- If y=sec^(-1)((x+1)/(x-1))+sin^(-1)((x-1)/(x+1)),x in[0,oo)~{1} then (...
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- The least value of n so that y(n)=y(n+1) where y=x^(2)+e^(x) is
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- If y=cos^(-1)""(9-x^(2))/(9+x^(2)) then y'(-1) is equal to
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- If y=(x^(2)+1)^(sinx), then y'(0) is equal to
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- If f(x)=x^(n)+4 then the value of f(1)+(f'(1))/(1!)+(f''(1))/(2!)+…+(f...
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- Let a function y=y(x) be defined parametrically by x=2t-|t|,y=t^(2)+t|...
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- (d^(2)x)/(dy^(2)) equals
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- Let y=f(x)=log(1+sinx)^(2),x ne (2n+1)(pi)/(2),n in I then f''(x)+2e^(...
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- Let f(x)=x+cot x and f is the inverse of g, then g'(x) is equal to
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- If f(x)={{:(xe^(-{(1)/(|x|)+(1)/(x)}),,","x ne 0,,"then f is"),(0,,","...
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- Let f and g be twice differentiable functions such that fog(x) = x^(3)...
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