Find the slope of the tangent line to the function: 2,2 4y x2 At point (1, 1).

Q: Find the gradient of the tangent line to y when x = 2.

A:

Q: Estimate the slope of the tangent line of the function y(t) = sqrt(2t+1) at the point t=5.

A:

Q: Find the equation of the tangent line to the curve y = x^2 + sqrt(x) at a = 1.

A: Given function is,

Q: Find the slope of the tangent line to the curve y =1+x+x´at the point x = a.

A: The curve is y=1+x+x2. Differentiate the function: dydx=1+2x

Q: Find the slope of the tangent line to the curve - 3x² + 2xy + 2y 3 - 38 - at the point (4, 1).

A:

Q: Find the slope of the tangent to the curve x2 + 8xy + y = 10| at (1, 1)|

A: The equation of the given curve, x2+8xy+y2=10

Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

A:

Q: Find the slope of the line tangent to the graph of f(x) = xe* at x = 0. %3D

A:

Q: Find the slope of the tangent line to the curve - 3æ² ³ = - 199 3x? + lœy+ 3y at the point (1, – 4).

A:

Q: Find the slope of the tangent line to the curve - 32 + 2ry-y = 0 at the point ( 1, – 1).

A:

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

A:

Q: Find the slope of the tangent to the curve x^2+3xy+y^2=5 at (1,1).

A: The equation of the curve is given by x2+3xy+y2 = 5                           .......1 The point is…

Q: Find the slope of the tangent line to the function: 4y 27 1 + х2 At point (1, 1) . 2.

A: Given:

Q: Find the slope and equation of the tangent line to f(z) = 5- 2z at a = 2 using the definition.

A:

Q: Determine the point on f(x)= 2x^e where the tangent is parallel to the line y= 2x-12

A: The equation of the curve is  f(x) = 2xe The line parallel to the tangent line on the graph of the…

Q: Find the equation of the tangent line to the function f(x) = -3x2 – 2x at the point where x form y =…

A:

Q: FIND THE SOPE OF THE TANGENT LINE TO 5x) AT THE POINT (x, 9(x)). 2.

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Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

A:

Q: Find the slope of the tangent line to the curve - 4x – 3ry + 4y° = = 14 at the point (- 3, 2).

A:

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 15t – 1. (Give your answer as…

A: Slope of tangent line

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: Find the slope of the tangent line to the curve 4x2 3xy 2y 168 - at the point (2, 4).

A:

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

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Q: Find the equation of the tangent line to the function y = xsin x when x = 6.

A:

Q: Find the slope of the tangent line to the curve - 2x2 + 3xy + 1y - 38 at the point (1, – 3). -

A: Where we use the concept of implicit differentiation then we evaluate the differentiation at the…

Q: Find the eauation of the tangent line at (2,1) of 4x"+ 8 } - 25Xy+4y= 0?

A:

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

A:

Q: . Find an equation of the tangent line to the curve y = sqrt ( 3 +x2  ) that is parallel to the line…

A:

Q: Find the equation of the tangent line at (1, ƒ(1)) when f(1) = 11 and f'(1) = 4.

A: to find equation of tangent line

Q: Find the slope of the tangent line to the curve 4x^2+1xy+3y^3=240 at the point (3,4)

A:

Q: Find the equation of the tangent line at (2, f(2)) when f(2) = 9 and f'(2) = 3. |3D

A: GIVEN FOR A FUNCTION f(x) ,f(2) = 9            &  f'(2)=3

Q: Question 2

A: To determine the tangent line to the curve.

Q: |Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

A:

Q: Find the equation of the tangent line to f(x) = 8x² – 5x – 40 at (3,17). %3D

A: Solution of the problem as follows

Q: Find the slope of the tangent line to the curve 4x^2-3xy+1y^3=26 at the point (3,2). Slope =

A:

Q: Find the equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

A:

Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

A:

Q: Find an equation of the tangent line to the curve  y = x * sqrt(x)  that is parallel to the line…

A: Given,curve is y = xx that is parallel to the line y= 6+9x

Q: Find the slope of the tangent to the curve  y=1/sqrt x at the point where x=a

A: Given: y=1x; x=a we know that slopem of tangent at pointx=a is given by m=dydx|x=a…

Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: Find the slope of the tangent line to the curve f(x) = at the point where x = 9. %3D

A:

Q: Find the equation of the tangent line to the function f(x)=−4x2−3x+2 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1given

Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

A:

Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

A:

Q: Use the definition of the derivative to find the equation of the tangent line to the graph of y = Vx…

A: We write 6x+3y=4 in y=mx+b form to find slope

Q: Find the slope of the tangent line to x+y=10 at (1,8).

A: According to our guidelines , we can answer only first question. Kindly re-post other remaining…

Q: Find the slope. g the tangent Line to FCQ)= X²-3x+1 When =3

A:

Q: Use the limit definition of the derivative to find the slope of the tangent line to the curve…

A: Question is solved.

Q: Estimate the slope of the tangent line at the point t = -5, for f(t) = 10t – 1. Give your answer as…

A:

Q: Find an equation of the line tangent to f(x) = Va at (4, 2).

A: equation of tangent line

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.