Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

Q: Find slope of the tangent line to the elipse x^2/36 + y^2/16=1 at the point (x,y) slope=

A: Given ellipse equation is x236+y216=1 find the slope of the tangent line at the point (x,y)

Q: Find the slope of the tangent line to r²e³ + y²e² = 2e at (1,1).

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Q: Use the sign of the derivative to establish the inequaltiy In(1+x) > I -,V> 0. 2

A: See the attachment

Q: Compute for the interval [2, 3], where y = 6x – 1. Дх Ду 6 Ax What is the slope of the tangent line…

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Q: The equation of tangent to the curve y =x- at (1,- 2) is-- O a. 13 y +1 = (x– 1) O b. 25 y - 2 = (x…

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Q: Use an appropriate local linear approximation to estimate the value (2.03)^3

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Q: What is the equation of the Tangent Line to the curve y = 3 x – 4 x ² at (-2, – 22)? 19 x - y = 60…

A: Equation of tangent line

Q: Let b(x)=h' (x), find the tangent line to b(x) when x = 6 .

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Q: as y y = f(x) (10, 4) Tangent line (4, 2) ive your answer to three decimal places.)

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Q: Pls help ASAP

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Q: 3. Find the points where tangent lines are vertical or horizontal: x³ + y³ = 6xy

A: Given:- x3+y3 = 6xy To find :- Points where tangent horizontal and vertical

Q: At what point on the curve y = 9 + 2ex − 6xis the tangent line parallel to the line 6x − y = 4?

A: The curve equation is y=9+2ex-6 To find point on curve tangent to curve and parallel to line 6x-y=4

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: Perpendicular to y + x = 0; (2, 0) on line

A: To find equation of a line ,which is perpendicular to line y+x=0,and point (2,0) lies on line.…

Q: The slope of the tangent line y = esec²x at ( 0 , e) is

A: The given curve is  y = exp(sec2x) GGiven point is (0, e)

Q: Parallel to x + 2y = 0; (1, 2) on line

A: To find the equation of line paralley to x+2y=0 and (1,2) is on the required line.

Q: What is the equation of the line normal to f(x) = 5x5 – 2x at x = -1 %3D

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Q: Determine the slope of the tangent line of the curve y = x+4 at x = 7. O 14 O 28 O 21 0 7

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

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

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Q: is the equation af tangent line at X=/ y = mx+b. to the giaph of f c) =x² -x at x=/ m%= b.

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Q: Differentiate: F(y) (y + 9y°) yA - y?

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Q: .The line y + 2x = 0 is tangent to y = F(x). Determine F(x) if F(x) = 4x³ + 2.

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Q: The equation of tangent line to y =27 7sinx at the point () is is: Select one: a. y=2x b.y=-2x+2T O…

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Q: Find the point on the line y = x closest to the point (1, 0). Hint: It is equivalent and easier to…

A: Distance between two points in xy-plane can be calculated using the distance formula. For two points…

Q: equation of line normal to f(x) = (x +4)1/2 at Q (0,3) is?

A: Given, f(x)=(x+4)12 To find: Equation of line normal to f(x) at Q(0,3)

Q: Compute y / x for the interval [2, 5], where y = 4x - 9. What is the slope of the tangent line at x…

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Q: If f(x) describes the position of an object over time, what is the average velocity on the interval…

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Q: Supposo that f CK th)-f(x)- -2h (x+2) -h? h(Xth +2)? (x+2)? Find the slope of the tangent line at…

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Q: Show that the sum of the x - and y  -intercepts of any  tangent line to the curve  sqrt x + sqrt y =…

A: We find the dy/dx then we find the slope at a point (h,k) by plugging x=h and y=k

Q: What is the gradient of the tangent line to the curve y = 2x³ – 3x2 at the point with a = 2? |…

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Q: Find the values of x where y = x 3 and y = x 2 + 5x have parallel tangent lines.

A: Parallel lines are the lines that have equal slopes. To find the slope of the tangent line at a…

Q: Differentiate the function. y = In(eX + xe )

A: In this question first apply the property of log and then differentiate as shown...

Q: Assuming y cos (3xz) = 5 defines z as a function of x and y. Differentiate

A: we have to derivative

Q: Find the slope of the tangent line to the curve `-3 x^2 + 3 xy + 4 y^3 = 8` at the point (4,2)`.…

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Q: Find the derivativeof the following function:

A: To determine derivative of the function.

Q: Evaluate the length of the curve: y = 3x + sinx, 0 ≤ x ≤ 1.

A: Let L be the length of curve  F(x) = 3x + sinx

Q: Find the set on which the curve is concave upward. Answer (in interval notation): 2 y = ₁² R² + ² +…

A: See the details solution in below

Q: Find the slope of the normal line to curve x=4sint, π y=cos2t when t=-

A: Given that x=4 sin ty=cos 2t Find the slope of the normal at t=π4 find the slope of normal and then…

Q: The equation of tangent line to y =2rsinx at the point (T) is : Select one: a. y=2x O by=-2x+27 O…

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Q: Find the equation tangent line at a=2 for f(x)=2x²-3x+1 O y=15x-7 O None of these O y=5x+7 O y=5x-7

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Q: Find the slope of the line tangent to y = 3x(cos x) at (7/2, 7/2). A) -3/2 B) 3x/2 C) /2 D) -x/2

A: Consider the function  y=3x(cosx) Point : π2,π2

Q: Obtain the MSE of f(x) = ex.

A: MSE = Maclaurin Series Expansion f(x)=ex formula f(x)=∑k=0∞f(k)(0)k!xk

Q: Consider the curve satisfying y" = 6x and is tangent to the line y = 5– 3x at x = 1. What is y' (2)?…

A: Given: y''=6xand tangent to the line y=5-3x at x=1To find y'(2)=?

Q: If g' (x) = (x² – 25)(x – 4), determine where the tangent line to y=g(x) is horizontal.

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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: If the line tangent to y = f (xht (3, 7) passes through the point (1, -3), find ƒ ' (3) O f' (3) = 5…

A: As the tangent line is passing through points (3,7) and (1,-3), we get the slope of the line as…

Q: tb is the equation af the tangent line f cx) = x² - x If m X to the guaph of at x =1 then m= b=

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Q: Find the points on the curve y = 2x3 + 3x? – 12x + 9 where the tangent line is horizontal. (x, y) =…

A: we have to find the points on the curve where the tangent line is horizontal. y=2x3+3x2-12x+9

Q: Find all values of x where tangent lines to y=x^5 and y=x^6 are parallel.

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