Find the equation for the tangent to the curve at the given point. Find the equation of tangent to the graph of f(x) = -x -3x + 10 at the point wh e the curve intersects the left hand side of the x-axis. = -x 2 _ O y= 7x +12 O y= -7x - 35 O y=-7x + 35 O y = 7x + 35 O y= 7x + 12

Q: The slope to the tangent line of a curve is given by f(x) = x2 -9x + 12. If the point (0, 9) is on…

A: Given that slope equation and we find the equation of curve. I.e.  df(x)/dx = x2 - 9x + 12. And also…

Q: Find an equation of the tangent to the curve at the given point. x = 4 + t2 − t,    y = t2 + 4,…

A:

Q: Find an equation of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;…

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent…

Q: Find an equation for the tangent line to the graph of the given function at (- 2,6) f(x) = x? +2…

A: Given function is as below: f(x)=x2+2

Q: Find an equation of the tangent line to the graph of y =- 2x at the origin and at the point (1,1). x…

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A: Standard slope intercept form of a line is like,                     y=mx+c, where m is the slope of…

Q: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: Find the equation of the tangent line to the graph of the function f (x) - - Enter the exact answer.…

A:

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A:

Q: Find the equation(s) of the tangent line(s) to the graph of the curve y = x³ - 11x through the point…

A: Given, curve y=x3-11x                  And point 1,-11

Q: Find an equation of the tangent to the graph of y = f '(x) at x = −1 when f(x) = x3 + 6x2 + 2x.

A:

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+ 7 and the point (1. 3) is on…

A: Given slope is 3x2-2x+7 and the point is (1,3)

Q: Find an equation for the tangent to the curve at the given point. f (x) = 6/¤ – x +1, (36, 1) -

A:

Q: Find an equation of the line tangent to the graph of G(x)=5 eX at the point (0,5). The equation of…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find an equation for the tangent to the curve at the given point. f(x) = 8fx - x + 7, (64, 7) Select…

A:

Q: Find an equation for the tangent to the curve at the given point. f(x) = 8 x - X+ 1, (64, 1)

A: Equation of line at point (a, b) and slope =m is : (y - b) = m*(x - a)

Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

Q: Determine the point(s) (if any) at which the graph of y= x^4-2x^2+3 has a horizontal tangent line.

A: The given curve equation y=x4-2x2+3 Slope = dydx=4x3-4x For horizontal tangent line dydx=0

Q: Find an equation of the tangent line to the graph at the given point.

A: The given function is fx=27x2+9.

Q: Find the slope and the equation of the tangent line to the graph of the function f at the specified…

A:

Q: use a graphing calculator to find the equation(s) of the tangent line(s) at the point(s) on the…

A: When x = 2, Put the value in the given equation:

Q: Find an equation of a line that is tangent to the graph of f and parallel to the given line.…

A: Slope will be same and there will be 2 equations.

Q: find the slope of the function’s graph at the givenpoint. Then find an equation for the line tangent…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point. +…

A: Given:- (x/y) +2x-4 = (-3/4) y  To find:- Equation of tangent line at point (1, 2)

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A:

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: The slope of the tangent line to the curve y - f(x) is perpendicular to the line3x-2y -S . The slope…

A: topic - slope of perpendicular line

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: The first derivative of the function f(x) is called as the slope by putting x coordinate of the…

Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 5.…

A:

Q: Find an equation for the tangent ot the curve at the given point. y=x-x^2, (3,-6)

A: The slope(m)  of the curve at the point (x1,y1) is given by: m=dydx(x1,y1)…

Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Find an equation for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A: gx=4x+3P-5,10

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A:

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A:

Q: Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1.…

A:

Q: Find the equation of the tangent to the curve y= 3 + 2x - x 2

A:

Q: 2. Find the equation of the tangent line to the curve f (x) at the x+1 point (2,5). Write equation…

A:

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4  at the point (1, 81).

A:

Q: Consider the following curve. x + 2 y = x - 4 Find the slope m of the tangent line at the point (3,…

A: Find the slope of tangent by calculating first derivate of the given curve then write the equation…

Q: Find an equation of the tangent to the curve at the given point. x = 5 + t2 − t,    y = t2 + 4,…

A: Consider the given functions: x=5+t2-ty=t2+4 Formula for equation of tangent line is given by:…

Q: Find an equation of the tangent line to the graph of y=g(x) at x=5 if g(x)=-6 and g’(5)=2. Answer…

A: We have to find equation of tangent line

Q: The equation of the tangent to the curve x2 = 4y at the point on the curve where x = −2

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) = -xe…

A:

Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: