Find an equation of the tangent line at the indicated point on the graph of the function w = g(z) = z2 - 3, (z, w) = (3, 6)

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Find an equation of the tangent line at the indicated point on the graph of the function w = g(z) = z2 - 3, (z, w) = (3, 6)

Mathematics
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w = g(z) = z^2 -3, (z.w) = (3,6)
The derivative represents the rate of change at a particular function. Take the derivative g(z) = z^2 - 3 to find g'(z) = 2z. To find the slope of the tangent line at that function put the z value into the derivative g'(3) = 2*3 = 6. The slope of the tangent line is 6. m = 6, and you have a point (3, 6), so you can put this into the point slope form of the line: z - z1 = m(w - w1) z - 3 = 6(w - 6)
Screwed up on the definition, the derivative represents the rate of change at a particular POINT, not function.

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