Use the instantaneous rate of change of #f(x) = e^(5x)# to find the equation of the tangent line to f(x) at x = 0?
1 Answer
Jun 17, 2018
Explanation:
The rate of change function of
This is also the gradient of the line tangent to the curve,
To determine
Thus the equation of the tangent line at
Sanity check the answer by plotting the two curves on the same graph and observing that they touch in the right place:
graph{(y-(e^(5x)))(y-(5x+1))=0 [-1, 1, -0.206, 2.291]}