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- If f(x)=x+tanx and g(x) is the inverse of f(x), then differentiat...
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- Find (dy)/(dx) for y=cos 55x
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- Find (dy)/(dx) for y=e^(6x)
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- Let f: R → R be a one-one onto differentiable function, such that f(2)...
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- If f''(x)=-f(x) and g(x)=f^(prime)(x) and F(x)=(f(x/2))^2+(g(x/2))^2 a...
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- Find (dy)/(dx) for the function: y=sin 4x - (1/x^4)
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- Find (dy)/(dx) for the function: y=sin 2x - x^4 + e^(-3x)
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- If x=acostheta,y=bsintheta, then prove that (d^3y)/(dx^3)=(3b)/(a^3)co...
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- If y=xlog(x/(a+b x)),t h e nx^3(d^2y)/(dx^2)= (a)x(dy)/(dx)-y (b) ...
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- A function f: R->R satisfies the equation f(x+y)=f(x)f(y) for all...
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- If u=x^2 and x=s+3t, y=2s-t, then (d^2u)/(ds^2) is (a) 5/2 t (b) 20t^...
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- If f(x)=(1-x)^n, then the value of f(0)+f^(prime)(0)+(f^('')(0))/(2!)+...
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- If f(x)=sinx+e^x , then f''(x)
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- "If "y^(2)=ax^(2)+bx+c," then "y^(3)(d^(2)y)/(dx^(2)) is
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- If f(x)=|x^nn !2cosxcos(npi)/2 4sinxsin(npi)/2 8| then find the val...
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- Let f((x+y)/(2))= (f(x)+f(y))/(2) for all real x and y. If f'(0) exits...
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- If y^(1/m)=(x+sqrt(1+x^2)),t h e n(1+x^2)y2+x y1 is (where yr repres...
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- Suppose the function f(x)-f(2x) has the derivative 5 at x=1 and deriva...
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- f(x)+f(y)=f((x+y)/(1-xy)) ,for allx,yinR.(xy!=1),and lim(x->0) f(x)/x=...
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- Let f: R->R satisfying |f(x)|lt=x^2,AAx in R be differentiable at x...
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