Equation of a tangent line. Ex. Given f(x)= 3x +4, find the equation of the tangent line at (-1,7)

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x +1 at (6, -2)…

A:

Q: f(x) = √x at (9, 3). Solve, a. Find the slope of the tangent line to the graph of f at the given…

A: Given that f(x)=x        ...(1)

Q: Complete detailed solution. What is the equation of the tangent line at (0,0) of f(x)=2x²-3x

A:

Q: Find all the values of x where the tangent line to the function f(x) x3 - 2x2 - 6x + 2 is…

A: First compute the derivative as follows.

Q: f(x) =x +3 Find an equation for the tangent line to the graph of f(x) =x+3 at (5,28).

A:

Q: Using a Tangent Line The tangent line to the graph of y = g(x) at the point (4, 5) passes through…

A: Given that there is a tangent line to the graph of y=gx at the point 4,5. Therefore, 4,5 lies on the…

Q: Find an equation of the tangent line to the graph of f(x) = e*, where x= - 0.1. The equation of the…

A: The given function is fx=ex. At x=-0.1,   f-0.1=e-0.1. Its derivative is f'x=ex. At x=-0.1,…

Q: Find an equation of the curve. The tangent line to the curve at the point (1,2) also passes through…

A:

Q: Find the slope of the tangent line to the graph of f(x) = 5x at the point (4,80). Find the…

A: a)Given, f(x)=5x2 at the point (4,80) find the slope of the tangent line to the graph f(x)=5x2 at…

Q: Direction: Find the equation of the tangent lines. Show your solution. 1. f(x)= x2 +5x + 1 at (6,…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: 8 Find an equation for the tangent line to the graph of y = (x° - 25x) at the point (-5,0). The…

A: Topic = Application of derivative

Q: f(x) = x2 + 7 at (-1, 8). Solve, a. Find the slope of the tangent line to the graph of f at the…

A: The given function is, y=fx=x2+7,

Q: Find an equation of the tangent line to the graph of the function at the given point. 8x (-3, 12) y…

A: First we find the slope of the given equation and then we find the tangent line equation by using…

Q: Let ƒ(x) = 4x² + 3x³ +9. Find the equation of the line tangent to the graph of y = f(x) at the point…

A:

Q: a. Find the slope of the tangent line to the graph of f at the given point. b. Find the…

A:

Q: Find the equation of the tangent line to the curve y = 1+x2 at the point (4, 9). The equation of…

A: Given curve

Q: Solve the problem. The slope to the tangent line of a curve is given by f(x) =x2 - 7x + 4. If the…

A:

Q: Find the equations of the tangent lines to the graph of y = In |x| at x = 1 and x = - 1 The equation…

A: Given,                           ....(A)

Q: f(x) = 2x2 + 5x at (1, 7). Solve, a. Find the slope of the tangent line to the graph of f at the…

A: Derivative formula ddxxn=n xn-1Point slope formy-b=m(x-a)Where m is the slope and point is (a,b)

Q: (a) Find an equation for the line tangent of f(x)= x^3+3x^2-2x-8, at the point where x=1. (B) There…

A: fx=x3+3x2-2x-8 When x = 1,  f1=13+312-21-8=-6 So we have to find the equation of the tangent line at…

Q: f(x) = 2x2 - x at (2, 6). Solve, a. Find the slope of the tangent line to the graph of f at the…

A: The given function is f(x) = 2x2 - x at (2, 6)

Q: A Find the slope and the equation of the tangent line to the following functions at the given point.…

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: 8 Find an equation for the tangent line to the graph of y = (x° - 9x) at the point (- 3,0). .....…

A: A detailed solution is given below

Q: a. Find the slope of the tangent line to the graph of f(x) = x +4 at the point (- 1,5). b. Find the…

A:

Q: Find the equation of the tangent line to the curve at the given point. y3 = 27x° at (1,3) The…

A:

Q: f(x) = x² – 4x + 1 at point (0,1)

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

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

A:

Q: 15 points) Find the equation of the tangent line to the graph ofx2−4xy−3 = 0 at (1,−12)

A:

Q: Direction: Find the equation of the tangent line to the function at x=a. 5. y = 2x³ + 4x²+7x-9 at…

A:

Q: f(x) = x2 + 4 at (-1, 5) Solve, a. Find the slope of the tangent line to the graph of f at the given…

A: fx=x2+4 a. Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Complete detailed solution. What is the equation of the tangent line at x=1of f(x)=1-2x

A:

Q: Find an equation of the tangent line to the graph of f(x) = e, where x= 3.1. The equation of the…

A:

Q: A. Find the slope of the tangent line to the graph of f(x)=7x^2 at the point (3,63) B. Find the…

A:

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

A: Given that: The function f(x) = x + 1x and point 16, 174 .

Q: f(x) = 4x + 2 at (1, 6), Solve, a. Find the slope of the tangent line to the graph of f at the given…

A:

Q: A problem or equation of the tangent line to a curve at the point (1,3) is y = x+2. If at any point…

A: Let's find.

Q: equation for the tangent line t

A: Given: f(x)=x(x2+1)3 To find: Equation for the tangent line

Q: अ 250 -x5/2 - 2x³/2 + +बेकर 9 x³ - 2x² + x − 1 -

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: ind the equation the tangent line and normal line to the graph of f(x) = x³ at x = 2.

A: Given f(x)=x3 substitute x=2 in f(x)⇒f(2)=23=8 The tangent line passes through the point (2,8)…

Q: (a) Find the slope of the graph of f(x)=1-e" at the point where it crosses the x-axis. The slope is…

A: To find the equation of the line

Q: Find an equation of the line tangent to the graph of f(x) =x° at (1,1). 3 %3D The equation of the…

A:

Q: Find equations for the tangent line and the normal line to the graph of the equation at the given…

A:

Q: a. Find the slope of the tangent line to the graph of f at the given point. b. Find the…

A: Given, f(x)=23x at (3,6)

Q: f(x) = 2x + 3 at (1, 5), Solve, a. Find the slope of the tangent line to the graph of f at the given…

A:

Q: 3 at 9, %3D Find an equation of the line tangent to the graph of f(x) = - The equation of the…

A: Topic:- application of derivatives

Q: quation of the tangent line to the curve at the given point. y =    2 + x3,    (−1, 1)

A: