Find all values of x at which the tangent line to the curve 1 x+4 passes...

Transcribed Image Text:

Find all values of x at which the tangent line to the curve 1 x+4 passes through the origin. y = Number of answers: X= 1 y Find all the values of x at which the curve (x - 5) x + 2x NOTE: Enter the exact answer(s). Number of answers: Choose one y = f(x) = has a horizontal tangent line. Find the values of x at which the curve y = f(x) = (6x + 5)(x - 8) has a horizontal tangent line. Enter the exact answers in increasing order. x = X = X= Find all values of x at which the tangent line to the curve x+3 is perpendicular to the line y = x. Xx+2 www Number of answers: Choose one Use the function f(x) = 3x x+2 (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: Choose one to answer the following questions. (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: Choose one- (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: Choose one (d) Find the interval(s) on which f(x) is concave down. Number of concave down intervals: Choose one (e) Find the x-coordinate(s) of any/all inflection point (s). Number of inflection points: Choose one Use f(x) = ln 2 + 25 to answer the following questions. (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: Choose one (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: Choose one (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: Choose one- (d) Find the interval(s) on which f(x) is concave down. Number of concave down intervals: Choose one (e) Find the x-coordinate(s) of any/all inflection point (s). Number of inflection points: Choose one Find all values of x at which the tangent line to the curve 1 x+4 passes through the origin. y = Number of answers: X= 1 y Find all the values of x at which the curve (x - 5) x + 2x NOTE: Enter the exact answer(s). Number of answers: Choose one y = f(x) = has a horizontal tangent line. Find the values of x at which the curve y = f(x) = (6x + 5)(x - 8) has a horizontal tangent line. Enter the exact answers in increasing order. x = X = X= Find all values of x at which the tangent line to the curve x+3 is perpendicular to the line y = x. Xx+2 www Number of answers: Choose one Use the function f(x) = 3x x+2 (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: Choose one to answer the following questions. (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: Choose one- (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: Choose one (d) Find the interval(s) on which f(x) is concave down. Number of concave down intervals: Choose one (e) Find the x-coordinate(s) of any/all inflection point (s). Number of inflection points: Choose one Use f(x) = ln 2 + 25 to answer the following questions. (a) Find the interval(s) on which f(x) is increasing. Number of increasing intervals: Choose one (b) Find the interval(s) on which f(x) is decreasing. Number of decreasing intervals: Choose one (c) Find the interval(s) on which f(x) is concave up. Number of concave up intervals: Choose one- (d) Find the interval(s) on which f(x) is concave down. Number of concave down intervals: Choose one (e) Find the x-coordinate(s) of any/all inflection point (s). Number of inflection points: Choose one