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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
- If y=x+log5x+2^x,"find" dy/dx
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- The curve 3y^2=2ax^2+6b passes through the point P(3.-1) and the gradi...
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- If y=e^xsinx, find dy/dx
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- If y=loge(tan^-1sqrt(1+x^2)) find dy/dx
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- If y=cos(bx+c) find dy/dx
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- If y=sqrt(sinx+sqrt(sinx+sqrt(sin+...oo))), find dy/dx
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- If ysqrt(1-x^2)+xsqrt(1-y^2)=1 when |x|lt1 and |y|lt1 find dy/dx
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- If xsqrt(1+y)+ysqrt(1+x)=0, prove that dy/dx=(-1)/((1+x)^2
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- 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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