Let f (x) = Vx. %3D Find the slopem and the point-slope equation of the line tangent to the graph of f at the point (49, 7)

Q: Find an equation of the tangent to the curve f(x) = /x + 10 that has slope . Select one: Ay=x…

A:

Q: Find the slope of the tangent to the curve r=−6+5cosθ at the value θ=π/2

A: Given curve is

Q: Use the graph below to determine the slope of the tangent line to y-f(x) when x=1. (2,5). 4 3 y-…

A: We can use the concept of Straight line in order to solve the given problem.

Q: 2x +1 Find the slope of the line tangent to the graph of y = 5x at x = 1. 4

A:

Q: ) Find an CIuation of the line tangent to the graph of Gec)=6e3X x tal dou2 o the Point (0,6). at

A:

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: C. Find the slope and the equation of the tangent line to the curve. 23. y 2x−x+2 at (-1,5) 24.…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A:

Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

Q: At which points on the curve y = 1 +°40x³ – 3x³ does the tangent line have the largest slope? | (x,…

A: Maximize slope

Q: Find an equation of the tangent line to the graph of y = f(x) at the give 16 f(x) = Vx, x= 49 What…

A:

Q: Determine the point(s), if any, at which the graph of the function has a tangent line with the given…

A:

Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: (iii) On your graph, draw a tangent to the curve, y = 2x +-10, that has a gradient of 1.

A: Given curve is y=2x+16x-10 Now, find the first derivative. y'=2-16x2-0y'=2-16x2 If the gradient is…

Q: At what point on the curve x = 9t2 + 7, y = t - 5 does the tangent line have slope ? (x, y) =

A:

Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at…

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let…

Q: Use your answer from the last problem to find the slope of the line tangent to f (x) = Vx at x = 9.

A:

Q: Determine slope of a curve y = x³ + 1 at x = 1

A: Given,           The slope of the curve y=x3+1  at x=1.

Q: Find the equation of the line tangent to the graph of f(x)=4cos(x) at x=−π/3 Give your answer in…

A: Given :f(x) = 4cosx at x = -π3We will find the equation of tangent line

Q: Find all points on the curve x'y + xy 2 where the slope of the tangent line is -1.

A: consider the given equation of the curve, x2y2+xy=2 to find the slope of the tangent differentiate…

Q: What is the slope of the line tangent to the curve x2 + y2 = 1 and parallel to the x-axis ? OA…

A: what is the slope of the line tangent to the curve x2+y2=1 and parallel to the x axis

Q: Find an equation of the form y = f(x) for a curve with r-intercept 2 whose tangent line at any point…

A: Here, to find the equation of the curve of the form y=f(x) with x-intercept 2. That is curve passes…

Q: Differentiate implicitly to find the slope of the curve at the given point. x2+y2 = 1; (4, 7) O 7…

A: The given equation is:x2+y2=1The point is 4, 7

Q: Find the slope of the tangent to the curve y = 25* at the point (1, 32).

A:

Q: differentiate the functions and find the slope of thetangent line at the given value of the…

A: The function is s=t3-t2.   Substitute -1 for t in the above function. s=-13--12=-1-1=-2…

Q: What is the instantaneous slope of y == at z = 5?

A: for the instantaneous  slope for a function f(x) at x=a we have to find f'(x) and then put x=a in…

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

A:

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Estimate the slope of the tangent line to y=x12 at the point (1, 1) and then verify the answer…

Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: Q5) find the slope of tangent to the curve at the given points: y? + x? = y* - 2x at (-2, 1) and…

A:

Q: Differentiate implicitly to find the slope of the curve at the given point. xy +x= 2; (1,1) OB. -2 1…

A: dy/ dx =  slope at  any point (x,y)

Q: At what point on the curve x = 9t2 + 3, y = t3 – 2 does the tangent line have slope ? (x, y) =

A:

Q: Find the slope of the tangent to the curve y=2/(8-5x) at x1=6.

A: Calculate the differentiation:-

Q: At what point on the curve x = (x, y) 6t² + 5, y = t³ - 2 does the tangent line have slope 11/22

A: This question is based on finding slope of parametric curve.

Q: Find an equation of the tangent to the curve at the given point. x 3 , y = t2 3, (3, 4)

A: Given curve is

Q: At what point on the curve x = 3t2 + 4, y = t³ – 6 does the tangent line have slope ? (x, y) = ( 3,…

A:

Q: 2. Find the slope of the curve r = e® at the point with 0= t/2.

A:

Q: Determine the value(s) of x where the slope of the tangent to g(x) = (x+ 5)(x² – 1) is -7. %3D

A:

Q: Find the equation of the line tangent to the graph of f(x) = −3cos(x) at x = −π/3   Give your…

A: First, find the point of tang-ency. We know the x value we now have to find y value  Substitute in…

Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

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

Q: Determine the value(s) of x where the slope of the tangent to f(x) = (x – 7)(x² – 5) is –13.

A:

Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

A:

Q: Let f(9)=−4 and f′(9)=−4. Then the equation of the tangent line to the graph of y=f(x) at x=9 is:…

A:

Q: The abscissa of the function y x^3 + bx ^2+ cx - 1 is x= 1 point is the inflection point. Since the…

A: Given that, The abscissa of the function y = x3 + bx2 + cx -1 is x = 1 point is the inflection…

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: Estimate the slope of a line tangent to the curve f(x) = -2x2 + 3x +5 at point P(1, f(1))by doing…

A:

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π/4 Give your answer in…

A:

Q: At what point(s) on the curve x = 3t2+1, y= t3 -1 does the tangent line have slope?

A:

Q: B. find the slope of the tangent to the curve at the given point 1. y= x-6, (1, - 2) 2. y = 3x -5x.…

A: