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NAGEEN PRAKASHAN-Continuity and Differentiability-Exercies 5.7
- x^(2)+3x+2
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- x^(20)
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- x*cos x
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- log x
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- Find derivative of x^3logx w.r.t. to x
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- e^(x)"sin"5x
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- e^(6x)"cos"3x
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- "tan"^(-1)x
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- differentiate: log(logx)
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- the derivative of sin(log x) is
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- If y=5" cos"x-3" sin"x, prove that (d^(2)y)/(dx^(2))+y=0.
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- If y=cos^(-1)x , find (d^2y)/(dx^2) in terms of y alone.
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- If y = 3 cos (log x) + 4 sin (log x), show that x^2y2+xy1+y=0
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- If y=A e^(m x)+B e^(n x) , show that (d^2y)/(dx^2)-(m+n)(dy)/(dx)+m n ...
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- If y=500\ e^(7x)+600\ e^(-7x) , show that (d^2y)/(dx^2)=49\ y .
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- If e^y(x+1)=1,s howt h a t(d^2y)/(dx^2)=((dy)/(dx))^2dot
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- If y=(tan^(-1)x)^2, show that (x^2+1)^2y2+2x(x^2+1)y1=2
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