III. CHOOSE ONE PROBLEM AND SOLVE USING THE CONCEPT OF DERIVATIVE OR DIFFERENTIAL OF A FUNCTION. 7. + Find the equations of the tangent and normal lines to the curve of the function, y 3x? - 2x + 1, at the point of tangency (1,2). %3!

Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

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

A:

Q: 8. Find the equation of the tangent and normal to the curve y = x3 3x + 1 at x = -1. [4] -

A: We have to find the eqution of tangent and normal of given curve y

Q: 1. Find the equation of the tangent line to x2- 3xy +y2 = -1 at (2,1).

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

Q: 2. Find the equation of the tangent line to the graph of y = 3cos 4x at x = 3

A: The equation of tangent line can be found by using the formula,y-y1=mx-x1Where, m=dydxx1

Q: Find the equation of tangent and equation of normal for the implicit function y + 4xy x+y, at the…

A:

Q: 1. Find the equation of the tangent and normal line to the curve f(x) =x' - 3x +2 at (1, 0).

A: Given the function f(x) :

Q: 1. Find an equation of the tangent line to the curve  x^2 + y +y^2 = 13 at the point (-1, 3). ?

A:

Q: 6. Find the equation of the tangent line to x² + 3xy + y² = 5 at the point (1, –4).

A: Given x2+3xy+y2=5       (1,-4)

Q: 3. Find the equation of the tangent line to the curve x2 – 2x In y + 3y2 = 3e2 - 1 in the point (1,…

A:

Q: 2. Find the equation of the tangent and normal line of the function y+ 3xy +x = 5 at the point (1,…

A:

Q: What is the slope of the tangent line to the curve a +y +¢y=3 at the point (1, 1)? O -1 O 1 cannot…

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

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Q: 4. Find the equation of the tangent line to the curve y = 5x– 6/x at the point (1, –1).

A:

Q: 3. Find the equation of the tangent lines and the normal lines to the curve y = √2x-1 at x=5

A: As per the company guidelines we are supposed to answer only first question. Kindly repost the other…

Q: 5. Find the equation of the tangent line on x² + y? = (2x² + 2y² – x)² at (0, ).

A:

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 3) Find the equation of the tangent line to the curve the point (1, 1). y²(2 – x) = x³ at

A: Given curve is : y2(2-x) = x3

Q: Find the equation of the tangent line to ?=?^2+4?−1 at x=1 Why do you need to find the derivative…

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Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

A:

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

Q: 7. Find an equation of the tangent line to the curve y = 1 y = 1+3r IVI that is parallel to

A: The objective is to find the equation of tangent line.

Q: 1) Find the equation of the tangent line to the curve: x* + xy – y = 7 at (3,2) %3D

A:

Q: (a) Find the equation of the tangent line to the curve y = 2lnx at x = 5.

A: As per our guidelines, we are allowed to answer only one question. Since you have asked multiple…

Q: 25.For which x – values does the graph of y = e3x³-2x-4x have a horizontal tangent line ?

A:

Q: Find the equation of the tangent line to the curve y=4+e2sinx at the point (0,5).

A: our objective is to find the tangent line equation.

Q: 3. Determine the gradient of the tangent at a point (2, 5) to the XY graph with the implicit…

A:

Q: *4. Find the equation of the tangent line to r² – 3ry + y² = -1 at (2,1).

A: Equation of tangent at a point

Q: 13. Find the equation of the tangent line to the curve x'y' + 4.xy = 12y at the point (2,1).

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

A:

Q: IL FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: Since you have asked multiple questions and with each question having multiple part i will solve the…

Q: Find the equation of tangent and equation of normal for the implicit function y +3xy =x+y, at the…

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Q: 2. Find the equation of the line tangent to x³ – 3xy + y = 1 when x

A: Given:               x3-3xy+y3=1,     x=0 at x = 0               0-30y+y3=1y3=1y=1 The slope of the…

Q: At what point(s) does the curve y=; 3x – 4 have a derivative of -1? O 1) (2.0) 2) (-1,-7) 3)…

A: Given query is to find the value of x where seri is -1.

Q: 2. At which points on the curve y = 1+ 60x – 2x does the tangent line have the largest slope?

A: Solution ) y = 1+60x3- 2x5 First derivative with respect to  x y' =0+ 60 ×3 × x2 - 2×5 x4 y' = 180x2…

Q: II FIND THE EQUATION OF THE TANGENT LINE AND NORMAL LINE TO THE FF. CURVES AT THE INDICATED POINT.…

A: We know  ,        The equation of tangent is :              Y - Y1 = m ( X - X1)  The equation of…

Q: 5. Find the equation of the tangent line to the curve y = x2 - 3x at the place where the parabola…

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Q: curve at the following point:  y = 2/ 1 + e-x, (0,1)

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Q: 6) Determine the equation of the tangent line to y = x/x when %3D x = 4.

A: Equation of tangent line

Q: Find an equation of the tangent line to the curve at the given point. y = 4.9x – x², (3,5.7) - y =…

A:

Q: 11. What is the slope of the tangent line to the curve y = 3x² – 5 at point (-1,-2)? %3D a. -5 b. -6…

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Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

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Q: Which is the equation of the tangent line to the curve x* +xy = 4 + y at the point (4,6)?

A:

Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

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Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

A:

Q: 4. Find the equation of the tangent line to the curve at the specified value of the parameter: x =…

A:

Q: 4. Find the slope of the line tangent to the graph of the equation -ey +y° = 7+ 2x at the point…

A: Given query is to find the slope of the tangent at given point.

Q: 4) Determine the equation of the tangent line to y=3x -5x² +10 at x= 1

A: The given equation is; y = 3x4 - 5x2 + 10  at x = 1