3. Determine the slope of the tangent line to the curve f(x) = at (2x + 1)2 x = 1 by using the definition of the derivative.

Q: 4. Find the equation of the tangent line to the graph of f(x)= 2x² – In Vx at x = 1.

A:

Q: 3. Find the equation of the tangent line to the curve f(x): at the given point (-5,5) x+4

A: Given  function

Q: 2. Find the slope of the tangent line to the curve y = x3 – 2x + 1 at x = 1.

A: As we know that: The first derivative of the function at a point is equal to the slope of the…

Q: Estimate the slope of the tangent line of the function f(x) = 2e* at the point x = e. %3=

A:

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

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: What is the equation of the tangent line of f(x) = In(2x – 3) at the point x = 2?

A:

Q: Find an equation of the tangent line to the given curve at the specified point. x2 x2 + x + 1 1 У 3…

A: To find the equation of the tangent line to the given curve at the specified point.

Q: Find an equation for the line tangent to given curve at the given value of x. y=x2−x at x=−3

A:

Q: 7. Use implicit differentiation to find the slope of the tangent line to the graph of x +y = 19 –…

A: Here we will find the slope of tangent line to the given graph,

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: 3. Find the equation of the tangent line to the curve y = x³ at x=1.

A:

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: Find an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: 4. x-y = 2 at (2, 2)

A:

Q: Find the equation of the tangent line to the graph of f(x) = (1 – x) Væ at x = 4.

A: topic - equation of a tangent line

Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: find the equation of the tangent line to the graph of f(x)=x^2(x^1/2 +1) at x=4

A:

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: 2. Find the equation of the tangent line for the function 2 f(x) = x2 + - 3 at a = -2

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Q: Find the equation of the tangent line to the graph of the function f(x) = x² +x – 1 at the point…

A:

Q: 4. Find the equation of the tangent line to g(x) 8 at x = 3 |x²–1

A: The function is given by gx = 8x2-13 To evaluate: The equation of the tangent line to the graph of…

Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A:

Q: Find the equation of the tangent line to the curve at the gvien value x. f(x)= (7)/(x-2); x=3

A: Given,

Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

A:

Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

A:

Q: 4. Find the slope of the tangent line to the function f(x)= +3; x+2 at x = 4 5x-10

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Q: Find the slope of the tangent line to the given curve at x = 3: f(x) = -V8x + 1 %3D

A:

Q: 1. Write the equation for both the tangent line and normal line to the curve y = 3x² – x +1 at the…

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

Q: 8) Find the equation of the tangent line to the graph of g(x) x3 7 at x = 2. -

A:

Q: Find the point where the tangent line to y = x² at x 0.7 crosses the x-axis.

A:

Q: 2. Find the equation of the tangent line (in slope-intercept form) to the curve y=xvx that is…

A:

Q: 15 Find the equation of the tangent line to the graph of f(x) at the point where x = 2 Vx3 – x + 3

A:

Q: 1) Find the slope of the tangent line to the graph of f (x) = x3 + x at x = 3.

A: Application of derivative problem

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

A: Given :fx = x2+x

Q: 4. Determine the equation of the tangent line to y = x²sin2x, at x = - R

A: Follow the procedure given below.

Q: Find an equation of the tangent line to the given curve at the specified point. x2 (1, 0) x2 + x + 1

A:

Q: 2. Find the equation of the tangent line to y at x = -5.

A:

Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

Q: find the equation of the tangent line to the curve y=x 'square root of' x at the point (1,1).

A:

Q: 12. (a) Use the definition of derivative to find the slope of the tangent line to the curve f(x) =…

A:

Q: 2) Find the equation of the tangent line in slope intercept form to the curve x² + 4xy + y2 = 13 at…

A:

Q: Find the equation of the tangent line to the graph of the function f(x) =x² - Vx at the point (1,0).…

A: We know tangent is a line and the equation of a line is given by y-y0 = m(x-x0)

Q: What is the equation of the tangent line at x=-2 of f(x)=√√x -1

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Q: Find the equation of a tangent line to the curve y = x e2x at the point where x=1

A:

Q: Find the equation of the tangent line to  f(x) = x2 − 2x + 2  at  x = 5.

A: The given equation is fx=x2-2x+2.

Q: find the slope of the tangent line to the curve at the given point. x^2 + 4xy + y^2 = 13, (2,1)

A:

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A: The given equation is fx=4x and x=3 To find the equation of the tangent line. The formula for the…

Q: Determine the equation of the tangent line to f(x) = x3 - x, at x = 1

A:

Q: Find an equation of the tangent line to the curve at the given point. y = (x2 - 1)/(x2 + x + 1')…

A: Given:         y=(x2−1)(x2+x+1)   for (1,0).