Question

consider the following. Rx) - Inxº, (-1,0) (a) Find an equation of the tangent line to the graph of the function at the indicated point. (Use x for the independent variable and y for the dependent variable.) (6) Use a graphing utility to graph the function and its tangent line at the point -3 -2 h Websign Plot

please draw graph as well

Answer 1

d3 Aue given f(x) = I x ln(at) differentiate of above with respect to x me get I de flad = a (x ln(at)) I l (4) = v. du udu of'(= { [ 1. 10 (21) + *] flies [ ln (2+) + (42) & f'(x) = [ln (x7) + 4] Equation of tangent line to graph of the forretions passing (10) is. slope of line at the point (-1,0) is m= f'(x)/2=-1. – Į [ln (49) +47 - [ln (18t+47 [Inc. +47 1/x = -1 m=2

with stope ma2 so the equation of tangent line and parsing (4., 3.) = (-1,0) is I- J, = m ( x-su) - J-o= 2(x-(-1)) is - y = 2x+2 se graph CO2) i 2 3X option (all