At what point on the curve y = 7 + 2ex − 4x is the tangent line parallel to the line 4x − y = 4?

Question

At what point on the curve y = 7 + 2e^x − 4x is the tangent line parallel to the line 4x − y = 4?

(x,y)=(___, ___)

Answer 1

Simon,

The line 4x - y = 4 has a certain slope (you should be able to figure out what it is).

You just need to find where the curve has the same slope. As with many of your other questions, the answer can be found by taking the derivative.