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- If y=sec^(-1)(1/(2x^2-1));0ltxlt (sqrt(2)),="" then="" find="" (dy)/(d...
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- (d^2x)/(dy^2) equals: (1) ((d^2y)/(dx^2))^-1 (2) -((d^2y)/(dx^2))^-1...
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- Find (dy)/(dx) if y=log{e^x((x-2)/(x+2))^(3/4)}
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- let f(x)=2+cosx for all real x Statement 1: For each real t, there ex...
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- Differentiate the function with respect to x using the first principle...
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- Match the following: List - I, List - II Let y(x)=cos(3cos^(-1)x) ...
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- Differentiate the function with respect to x using the first principle...
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- Differentiate the following functions with respect to x from first...
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- If f(x) is differentiable and strictly increasing function, then the v...
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- If f(x)=[2x]sin3pix then prove that f'(k^(+))=6kpi(-1)^(k), (where [.]...
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- lim(h->0) (f(2h+2+h^2)-f(2))/(f(h-h^2+1)-f(1)) given that f'(2)=6 and ...
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- Evaluate (lim)(hvec0)((a+h)^2sin^(-1)(a+h)-a^2sin^(-1)a)/h
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- If x^2+y^2=1,t h e n (a)y y^('')-2(y^(prime))^2+1=0 (b)yy^('')+(...
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- Using the first principle, prove that d/(dx)(1/(f(x)))=(-f^(prime)(x))...
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- If y is a function of x and log(x+y)-2x y=0, then the value of y^(prim...
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- Find the derivative of sqrt(4-x) w.r.t. x using the first principle.
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- The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...
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- If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) using the first principle...
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- Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...
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- Find the derivative of e^(sqrt(x)) w.r.t. x using the first principle.
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