i have two questions i need help with if you could answer either that would be great,
1. Find the equation of the tangent to the curve y = ln(4x - 2) at the point (1, ln2)
2. Find the area enclosed by the curve y = e^x - x and the lines x= -1 and x = 1
alright this shouldn't be too difficult then. The definition of a derivative is the slope of the tangent line at any point in the graph. So, by finding the derivative of the function (evalutated at your point) should give you the slope of your tangent line at that point (x=1).
Then by using the equation for a linear equation
y=mx+b, plug in your slope (m), and your values of x and y given from your point, to solve for b.
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