derivative of function y = x^3
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Example. The equation of a tangent to a curve.
a) Calculate the slope of the line that is tangent to y = x2 at the point
a) on the curve where x = 4.
b) What is the equation of that line?
Solution.
a) The slope of the tangent to the curve at x = 4 is the value of the
a) derivative at x = 4. The derivative of y = x2 is 2x. Therefore at
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