If y 3x2 4x 5 then what is the slope of the line tangent t

If y = 3x^2 + 4x -5 then what is the slope of the line tangent to the curve at the point (3,4) ? Do we only plug 3 into the derivative because the derivative is taken with respect to \"x\"?ca

Solution

\\(y\' = m = 6x + 4\\) \\(y\'(4) = 6(3) + 4 = 22\\) We plug the x value in the equation for y\'(x) to get the slope of the line at the point x = 3, 4
If y = 3x^2 + 4x -5 then what is the slope of the line tangent to the curve at the point (3,4) ? Do we only plug 3 into the derivative because the derivative is

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