Find the equation of tangent line to the graph of the function f(x)=2^x at point (2,4)

Question

Find the equation of tangent line to the graph of the function f(x)=2^x at point (2,4)

Answer 1

The derivative of 2^x is 2^x ln 2

Therefore the slope of the tangent line when x=2 is 4 ln 2

The tangent line then is

4 ln 2 = (y-4)/(x-2) and you can manipulate this into any required form.