Question

Consider the function y = g(x) = -x^2 + 7x + 1. (a) Use the limit definition to compute a formula for y = g'(x). y = -2x+7 (b) Determine the slope of the tangent line to y = g(x) at the value x = 5. slope = -3 (c) Compute g(5). g(5) = (d) The equation for the tangent line to y = g(x) at the point (5, g(5)), written in point-slope form, is y - 76 = -3 (x - 5) Fill in the blanks with the appropriate numbers.

          Consider the function y = g(x) = -x^2 + 7x + 1.
(a) Use the limit definition to compute a formula for y = g'(x).
y = -2x+7
(b) Determine the slope of the tangent line to y = g(x) at the value x = 5.
slope = -3
(c) Compute g(5).
g(5) =
(d) The equation for the tangent line to y = g(x) at the point (5, g(5)), written in point-slope form, is
y - 76 = -3 (x - 5)
Fill in the blanks with the appropriate numbers.

Consider the function y = g(x) = -x^2 + 7x + 1.
(a) Use the limit definition to compute a formula for y = g'(x).
y = -2x+7
(b) Determine the slope of the tangent line to y = g(x) at the value x = 5.
slope = -3
(c) Compute g(5).
g(5) =
(d) The equation for the tangent line to y = g(x) at the point (5, g(5)), written in point-slope form, is
y - 76 = -3 (x - 5)
Fill in the blanks with the appropriate numbers.

Added by Shannon S.

Calculus: Early Transcendentals

James Stewart 8th Edition

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Consider the function y = g(x) = -x^2 + 7x + 1. (a) Use the limit definition to compute a formula for y = g'(x). (b) Determine the slope of the tangent line to y = g(x) at the value x = 5. (c) Compute g(5). (d) The equation for the tangent line to y = g(x) at the point (5, g(5)), written in point-slope form. Fill in the blanks with the appropriate numbers.