Methods of Differentiations questions
285 published questions with worked solutions.
- If y = f ( 2x-1 x^2+1 ) and f'(x) = x^2 then dy dx is
- If e^x = 1+t - 1-t 1+t + 1-t and y 2 = 1-t 1+t then dy dx at t = 12 is
- If t(1+x^2) = x and x^2 + t^2 = y then dy dx at x=2 is
- If 5f(x) + 3f ( 1x ) = x + 2 and y = xf(x) then ( dy dx )_ x=1 is equal to
- If y^2 = P(x) = a polynomial of degree 3 then 2 d dx (y^3 d^2y dx^2 ) equals
- Let f(x) = vmatrix x^3 & x & x 6 & -1 & 0 p & p^2 & p^3 vmatrix , where p is a constant. Then d^3 dx^3 f(x) at x=0 is
- If y = 2x then d^6y dx^6 at x = 2 is equal to
- x = t t, y = t + t; then d^2x dy^2 at t = 2 is equal to
- If y = at^2, x = 2at, where a is a constant, then d^2y dx^2 at x = 12 is
- If f_n(x) = e^ f_ n-1 (x) for all n N and f_0(x) = x then d dx f_n(x) is equal to
- If f(x), g(x) be differentiable functions and f(1)=g(1)=2 then _ x 1 f(1)g(x)-f(x)g(1)-f(1)+g(1) g(x)-f(x) is equal to
- If f(a)=2, f'(a)=1, g(a)=-1, g'(a)=2 then _ x a g(x)f(a)-g(a)f(x) x-a is
- Let f(x) = |x-1|, x 1. The value of f' ! ( 12 )
- If f(2)=g(2) and f'(2)=a, g'(2)=2a then _ x 2 f(x)-g(x) x-2 is equal to
- If f(x) = 1 + x , x > 0, then f(x) f'(x) is equal to
- A particle moving on a curve has the position given by x = f'(t) t + f''(t) t, y = f'(t) t - f''(t) t at time t where f is a...
- If f(x) = ^ -1 x - x^ -1 x + x^ -1 then f'(-2) is
- If x^2 + y^2 = 1 then ( where y' = dy dx , y'' = d^2y dx^2 )
- Let f(x) be differentiable on the interval (0, ) such that f(1) = 1, and _ t x t^2f(x) - x^2f(t) t - x = 1 for each x > 0. Then...
- d^2x dy^2 equals
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