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Let f(x)={(tan)pi/4+tanx}{(tan)pi/4+(tan...

Let `f(x)={(tan)pi/4+tanx}{(tan)pi/4+(tan)(pi/4-x)}and g(x)=x^2+1.` Then `g{f(x)}+f'(x)=`

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Let f(x)={(tan)(pi)/(4)+tan x}{(tan)(pi)/(4)+(tan)((pi)/(4)-x)} and g(x)=x^(2)+1 Then g{f(x)}+f'(x)=

Solve: tan(pi/4+x)+tan(pi/4-x)=2

tan x+(tan((pi)/(4))+tan x)/(1-tan((pi)/(4))tan x)=2

(tan(pi/4+x))/(tan(pi/4-x)) = ((1+tanx)/(1-tanx))^(2)

f(x)=[Tan( pi/4)+Tan x]*[Tan (pi/4)+Tan(pi/4-x)]" and "g(x)=x(x+1)" .Then the value of "g[f(x)]" is equal to "

f(x)=tan x,x in(-(pi)/(2),(pi)/(2)) and g(x)=sqrt(1-x^(2)) then g(f(x)) is

(tan((pi)/(4)+x))/(tan((pi)/(4)-x))=((1+tan x)/(1-tan x))^(2)

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A DAS GUPTA-Differentiation-Exercise
  1. If xe^(xy)=y+sin^2x then at x=0 (dy)/dx=

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  2. If x^2y +y^3=2, the value of (dy)/(dx) at the point (1,1) is

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  3. Let f(x)={(tan)pi/4+tanx}{(tan)pi/4+(tan)(pi/4-x)}and g(x)=x^2+1. Then...

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  4. IF y = 1 / (1+ x + x^2 + x^3), then value of (d^2y) / dx^2 at x = 0 is

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  5. IF y = 1 / (1+ x + x^2 + x^3), then value of (d^2y) / dx^2 at x = 0 is

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  6. If y=log (x+5), x!= -5 then dy/dx=

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  7. If x^y = e^(x-y) " then " dy/dx ?

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  8. If x=e^tcos t,y=e^t sin t then (dy)/(dx)=

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  9. If phi(x)= |[1,2x,3x^2], [x,x^2,x^4], [0,2,6x]| then phi'(1)=

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  10. The value of (dy/dx){(1,1)} for the curve 2y = 3 -x^2 is

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  11. Let y =log(e)sin(x^2),0ltxlepi/2. The value of dy/dx at x= sqrt(pi/2) ...

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  12. If f(x) = log ex then the differential coefficent of f(logex) with res...

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  13. If y^2=P(x) is a polynomial of degree 3, then 2(d/(dx))(y^2dot(d^2y)/(...

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  14. If f(x) = tan^-1 {1/x (sqrt(1+x^2))} then f'(0) is

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  15. If t=e^x and y=t^2-1 then (dy/dx) at t=1 is

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  16. x^3-2x^2y^2+5x+y-5=0, then find (d^2y)/(dx^2) at x=1, y=1

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  17. Let f(x)=|x^3sinxcosx6-1 0p p^2p^3|,w h e r ep is a constant. Then (d...

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  18. The derivative of an even function is always an odd function.

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  19. If both f(x) and g(x) are non-differentiable at x=a then f(x)+g(x) may...

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  20. If y=f((2x-1)/(x^2+1)) and f^(prime)(x)=sinx^2 , find (dy)/(dx) .

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