Directions: Find the slope of a tangent line, equation of a tangent line with derivatives.A show your coumplete solution1. Find the slope of the line tangent to the graplı of the function defined by fix) - 3x + 2x-I at (1, 2). Write the equation of the tangent line.2. Find the slope and equation of the tangent line to the curve y-x + 2x +1 at ( 24)3. Find the slope of the line tangent to the graph of the function defined by fix)-x- 3x+4at (-1, 2). Write the equation of the tangent line.4. Find the slope and equation of the tangent line to the curve y -x- 4x +5 at (2,-3)5. Find the slope of the line tangent to the graph of the function defined by fix) - 3x -4 at(1. -2). Write the equaticn of the tangent line

Name: Directions: Find the slope of a tangent line, equation of a tangent l
Uploaded: 2024-03-20T06:47:22.000Z
Channel: Bartleby
Description: Directions: Find the slope of a tangent line, equation of a tangent line with derivatives.A show your coumplete solution1. Find the slope of the line tangent to the graplı of the function defined by fix) - 3x + 2x-I at (1, 2). Write the equation of

We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Answered: 1. Find the slope of the line tangent…

Math

Calculus

1. Find the slope of the line tangent to the graph of the function defined by fix) - 3x - 2x- I at (1, 2). Write the equation of the tangent line.

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter3: Functions And Graphs

Section3.6: Quadratic Functions

Problem 50E

See similar textbooks

Similar questions

The point-slope form of the equation of the line with slope 3 passing through the point 1, 2 is _.
Using the implicit derivation method: If x2 + y2 = 25, find the slope of the equation of the line tangent to the curve at the point (3,4).
A tangent line to a circle is a line that intersects the circle at exactly one point. The tangent line is perpendicular to the radius of the circle at this point of contact. Write an equation in point-slope form for the line tangent to the circle whose equation is x2 + y2 = 25 at the point (3, -4).
a.Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations for the lines that are perpendicular to these tangent lines at the points of tangency. b. Smallest slope What is the smallest slope on the curve? At what point on the curve does the curve have this slope? Find an equation for the line that is perpendicular to the curve’s tangent line at this point
A straight line from the origin passes through the point P(x, y) in the first quadrant and is inclined at θ = π 3 from the positive x-axis. Write an equation for the line.
Find an equation of the line tangent to the curve at the point corresponding to the given value of t. x=t^2−10, y=t^3+4t; t=5 (Type an equation. Type your answer in slope-intercept form.)
a. Find an equation for the line that is tangent to the curve y = x3 - 6x2 + 5x at the origin. b. Graph the curve and tangent line together. The tangent intersects the curve at another point. Use Zoom and Trace to estimate the point’s coordinates. c. Confirm your estimates of the coordinates of the second intersection point by solving the equations for the curve and tangent line simultaneously.
a. Find an equation for the line that is tangent to the curve y = x3 - x at the point (-1, 0). b. Graph the curve and tangent line together. The tangent intersects the curve at another point. Use Zoom and Trace to estimate the point’s coordinates. c. Confirm your estimates of the coordinates of the second intersection point by solving the equations for the curve and tangent line simultaneously.
fFind the equation of a curve whose tangent line has a slope 2x-5 and the curve passes through the point (5,4)