The tangent line to the graph of yx3 at the point xy has slo

The tangent line to the graph of y=x³ at the point (x,y) has slope 3x². Using this result, find the slope of the curve at the point (3,27).

Solution

Slope of the curve is 3x², so at point (3,27) i.e. when , x=3 slope is 2*(3)² =18 ...(Answer).

Just substitute x=3 in the equation of slope!

Hope this helps!!