i'm confused on how to find the derivative of f(x) = 5x + 3√ x
then using it to find the equation of the tangent line to the curve y = 5x + 3√ x at the point (5, 31.70820393) in y=mx+b form

Question

i'm confused on how to find the derivative of f(x) = 5x + 3√ x 
then using it to find the equation of the tangent line to the curve y = 5x + 3√ x at the point (5, 31.70820393) in y=mx+b form

waynex · Answer

You will ultimately use the point slope formula. You have the x and y value that will be plugged into the formula. You will also need the slope. Find the derivative of f(x), and then solve for f'(5). Now you have all that you need to use the point slope formula.