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- If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...
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- Let f(x)=|[x^3,sinx,cosx],[6,-1, 0],[p, p^2,p^3]|, where p is a cons...
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- Find (dy)/(dx) for y=sin^(-1)(cosx), where x in (0,2pi)dot
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- The derivative of an even function is always an odd function.
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- If y=sqrt((a-x)(x-b))- (a-b)tan^(-1)sqrt((a-x)/(x-b)),t h e n d(dy)/...
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- Let F(x)=f(x)g(x)h(x) for all real x ,w h e r ef(x),g(x),a n dh(x) a...
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- Find (dy)/(dx) for y=tan^(-1){(1-cosx)/(sinx)},-piltxltpi.
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- If x=y+sin^2x then at x=0 ,(dy)/dx=
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- Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x.
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- If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= for x>20
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- Find (dy)/(dx) for y=tan^(-1) sqrt(sec^2x/ cosec^2x)
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- If y=(sinx)^(tanx),t h e n(dy)/(dx)= (a)(sinx)^(tanx)(1+sec^2xlogsi...
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- If y=sin^(-1)(sqrt(1-x^2]) and 0 < x < 1, then find (dy)/(dx)
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- Suppose that f(x) is a quadratic expresson positive for all real xdot ...
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- If y=cos^(-1)x ,find (d^2y)/(dx^2).
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- If y^2=P(x), then 2d/dx(y^3(d^2y/dx^2))
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- If g(x)=|(f(x+c),f(x+2c),f(x+3c)),(f(c),f(2c),f(3c)),(f'(c),f'(2c),f'(...
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- If f(a)=2,f^(prime)(a)=1,g(a)=-1,g^(prime)(a)=2, then the value of li...
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- If x=a(cost+tsint) and y=a(sint-tcost), find (d^2y)/(dx^2)
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- Let y=(2^((log)2 1/4x)-3^((log)(27) (x^2+1)^3-2x))/(7^(4(log)(49)x)-...
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