MTH281 Tma Solutions

MTH281

If \\(y=sinx\\), determine the fourth derivative of y with respect to x

\\(y^{iv}=sinx\\)

If two function agree at all but a single point c (i.e. x=c), then they have?

Identical limit

A function of several variables resulted to what is called

Partial differentiation

The function \\(y=\\frac{(5x^2+3)}{(x-1)(x-2)} is continuous everywhere except at

\\(x=1,2\\)

Obtain the differentiation of 75

zero

If \\(z=sinâ¡(3x+2y)\\), find its derivative with respect to x

\\(3cosâ¡(3x+2y)\\)

Obtain the derivative of \\(z=(2x-y)(x+3y)\\) with respect to y

\\(5x-6y\\)

In general, if the graph of a function has a break in it at a particular value of x, it is ________________ at that point

Discontinuous

Determine the continuity of the function \\(f(x0=x^3-x\\)

\\((-\\infty,\\infty)\\)

Determine the derivative of \\(y(x)=x^2\\) at the point x

\\(2x\\)

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