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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
- If e^x+e^y=e^(x+y), prove that dy/dx=-e^(y-x)
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- Differentiate x^(sin^(-1)x) w.r.t 'x'
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- If y= (x)^cosx,find dy/dx
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- If x^y=e^(x-y), Prove that dy/dx=logx/(1+logx)^2
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- If y=e^(x+e^(x+e^(x+....TOoo))) prove that dy/dx=y/((1-y))
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- Differentiate tan ^(-1)((sqrt(1+x^2 )-1)/x) w,r,t. tan ^(-1)x
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- If e^y(x+1)=1, prove that (d^2y)/(dx^2)=((dy)/(dx))^2
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- If y=sin^(-1) x, prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0
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- If x=a(theta+sin theta) and y=a(1-costheta), find (d^2y)/(dx^2)"at"the...
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- A particle moves along the curve y=2/3x^3. Find the points on the curv...
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- A man of height 1.6m, walks at a rate of 30m/sec away from a lamp whic...
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- Water is leaking from a conical funnel at the rate of 5cm^3//sec. If t...
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- Find the approximate value of log(10)10.1 it being given that log10e=0...
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- The time T of of oscillation of a simple pendulum of length l is given...
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- If in a triangle ABC, the side c and the angle C remain constant while...
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- Find the interval in which f(x)=2x^3+3x^2-12x+1 is increasing.
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- Find the interval in which f(x)=x^3-3x^2-9x+30 is strictly increasing ...
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- The function f(x)=sin^4x+cos^4x increasing if :
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- Let f(x)=int0^xe^t(t-1)(t-2)dt, Then f decreases in the interval
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- If f(x)=x.e^(x(1-x)), then f(x) is
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