How to find the slope and equation of the tangent line to the graph of the function f at the specified point. f(x) = (x3 + 1)(x2 − 2) point (2, 18)

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A:

Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

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: Determine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent…

A: Our aim is to determine the coordinates of the points on the graph off(x)=5x3-2x2 where the tangent…

Q: equation of the curve at every point of which the tangent line has a slope of -e-².

A:

Q: for the function, how do you find (a). the equation of the scant line through the points where x has…

A: Part (a)y = f(x) = x2 +2x ;    x1 = 3 and x2 = 5x1 = 3; hence, y1 = x12 +2x1 = 32 + 2 x 3 = 15x2 =…

Q: Consider the equation and the given point. f(x) = (x – 3)(x² + 6), (1, –14) (a) Find an equation of…

A: (a) The equation of the curve and the point is given as,

Q: Find an equation of the tangent line to the curve at the given point. Y= x^3 -3x+2, (2,4)

A:

Q: the slope of the graph of y = f(x) is known to be 16 at the point with x-coordinate 2. Find the…

A: Equation of given curve is

Q: Find an equation for the tangent line to the curve at the given point. f(x) = -3el*, (0,-3) Show…

A: equation of the tangent = ?

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A:

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

A: The given equation is y=3x2+2x and the point is -2,8

Q: Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: f(x)=−2x3+x2. Determine the equation of the tangent line at x=1.

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x) = 2x − x2 We need to find the equation of two tangent lines to the graph of f that passes…

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Given: f(x) = (9 − x2)23, (1, 4)

Q: Find an equation of the line tangent to the graph of f(x) = - 2x³ at (– 1,2). The equation of the…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Consider the given function: fx=13xx2+5 ; P(2,2) Here, the objective is to find the equation of…

Q: Find an equation of the tangent line to the graph of the function f defined by the equa y2 – x2 = 9;…

A: we have to find

Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: Find equations for the horizontal tangent lines to the curve y = x3 - 3x - 2. Also find equations…

A:

Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 9x − 2x2…

A: Given function f(x) = 9x-2x2

Q: Find an equation for the tangent line to the graph of the given function at (-5,29). f(x)=x² +4 Find…

A: f(x)=x^2+4   (-5,29) slope=m=dy/dx m=dy/dx=d(x^2+4)dx=2x m=2x (-5,29) m=2(-5)=-10

Q: Determine the point at which the graph of the function has a horizontal tangent line. f(x) =…

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given function is fx=4x-x2

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

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: Find an equation for the tangent line to the graph of the given function at (-3,6). f(x) = x2 - 3…

A:

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

A:

Q: Consider the following function and point. f(x) = x3 + x + 5; (-2,-5) (a) Find an equation of the…

A: Recall: Equation of the tangent line : y-y1=y' (x-x1); where (x1,y1) be the given point , and y' is…

Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A: Here we have to find the equation of the tangent line to graph of the function y =f(x)=4x2. Given x…

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

A: The slope of tangent the curve of a function is given by the derivative of the function at that…

Q: Find an equation for the tangent line to the graph of the given function at (- 3,13). f(x) = x² + 4…

A: From the given problem:   fx=x2+4px1,y1=-3,13   The expression for the slope of the tangent to the…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A:

Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y (Express numbers…

A:

Q: Find an equation of the tangent line to the curve at the given point. y = (x+1)/(x-8) ,    (7, −8)

A:

Q: Find the equation of the tangent line to the graph of the function f(x)=(x^2+9)(x-3) at the point…

A: Given : f(x) =(x2+9) (x-3)

Q: Find an equation of the line tangent to the graph of f(x) = (4x-7)(x+4) at (2,6). The equation of…

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 5x - 4x²…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, (a) use a…

A: Given:  Function f(x)=-2x4+5x2-3, Point (1, 0).

Q: Find an equation of the line tangent to the graph of f(x) = 5 – 5x at (3, – 40). The equation of the…

A:

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

A:

Q: how do you find the  (a). equation of the scant line through the points wehre x has the given…

A: The given equation is f(x)=x^2+2x.

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 10 − x2;…

A:

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

A: To determine: The slope and the equation of the tangent line to the graph of the function f at the…

Q: Find the equation of the tangent line to the graph of the given function at the point with the…

A:

Q: Find the slope of the graph of the function f(x) = /2x at (2,2). Then find an equation of the line…

A:

Q: Find equations of the two tangent lines to the graph of f(x) = 2x2 that pass through the point (1,…

A:

Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

A:

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: