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NAGEEN PRAKASHAN ENGLISH-Continuity and Differentiability-Exercies 5.7
- Find the second order derivatives of the functions givenx^2+3x+2
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- Find the second order derivatives of the functions given. x^(20)
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- y=x*cos x then find (d^2y)/(dx^(2)).
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- log x
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- Find derivative of x^3logx w.r.t. to x
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- y=e^(x)"sin"5x then find (d^2y)/(dx^(2)).
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- Find second order derivative of e^(6x)cos3x
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- y= "tan"^(-1)x then find (d^2y)/(dx^(2)).
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- differentiate: log(logx)
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- Find the second derivative of sin(log x) is
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- If y = 5 cos x-3 s in x, prove that (d^2y)/(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=3cos(logx)+4sin(logx),show that x^2y2+x y1+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," show that "(d^(2)y)/(dx^(2))=((dy)/(dx))^(2).
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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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