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PATHFINDER-DERIVATIVES-QUESTION BANK
- Find f'(0) if f(x)=cos^2x
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- f(x)=xsin(1/x),x ne0=0,x=0 examine whether f'(0)exists.
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- find f'(2) where f(x)=3x^2+2x
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- if f(2)=4 and f'(2)=2 then prove that underset(xrarr2)Lt (2x^2-2f(x))/...
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- if f(x)=mx+c and f(0)=f'(0)=1 then find the value of f(3)
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- If y=secx+tanx then prove that 2(dy/dx)=(1+y^2)
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- if y=x^3 then prove that xdy/dx-3y=0
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- y=xe^x show that xdy/dx=(1+x)y
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- Find the diffrential coefficients of y=cosx^0
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- If p=at^2+bt+c find [(dp)/dt](t=2) =?
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- if 2f(x)+3f(-x)=x^2+x+1 find the value of f'(1)
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- If f(9)=9 ,f'(9)=4, underset(xrarr9)"Lt" (sqrt f(x)-3)/(sqrtx-3)=?
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- The function f is differentiable at x=a and its derivative be f'(a) sh...
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- If y=(x)/(x+2) prove that x(dy)/(dx)=y(1-y)
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- show that the function f(x)=abs(x-2)+abs(x-3) is not differentiable at...
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- If log(x^2-y^2)/(x^2+Y^2)=a the prove that (dy/dx)=y/x
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- prove that d/dx(x^x)=x^x(1+logex)
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- y=x^(x^(x^------infty) then prove that dy/dx=(y^2)/(x(1-ylogx))
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- If y=tan^(-1)(5ax)/(a^2-6x^2) prove that dy/dx=(3a)/(a^2+9x^2)+(2a)/(a...
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- y=sin^(-1)(xsqrt(1-x)+sqrtxsqrt(1-x^2)) show that dy/dx=(1)/(sqrt(1-x^...
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