Use of differentials to approximate problem
Solve the below:
Q1. Find the 2nd derivative of g(x)=x^2/(x^2 + 1) .
Q2. Find d^3/dx^3 (7x^3 - 8x^2 + 2x) .
Use differentials to approximate the following:
Q1. (127)^(1/3)
Q2. sin 31°
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Find the area of the section of the hyperbola x2/a2+y2/b2=1that is bounded by the curve and the line x=2a .
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Use implicit differentiation to find the dy/dx:
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Find the 2nd derivative of g(x)=x^2/(x^2 + 1) .
Calculate dz/dx using implicit differentiation. given the equation:
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Find the open intervals on the x-axis on which the function f(x) = x2/x-1 is increasing and those on which it is decreasing.
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