S(-) = P(-1, -1)

Q: Find the slope of the tangent line to the graph at the given point.

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Write an expression for the slope of the tangent line to the  curve y − f(x) at the point (a,f(a)).

A: Given: The equation of curve is: y=fx Given point is a, fa.

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.

A:

Q: Find ​(a) the slope of the curve at the given point​ P, and ​(b) an equation of the tangent line at…

A:

Q: ind the equation of the curve at every point of which the tangent line has a slope of -e-.

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A:

Q: Determine the slope of the tangent line to the given curve, provided below, at x = 1. * 4 x + 6 y =…

A:

Q: Find the slopes of the tangent lines to the graph of f(x) = 2e² at the points (0, 2) and (1, 2e).

A: See the attached file to know how to find thesthe of a tangent at the given points.

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, A curve y=x12  and a point P(4,2) (a). To find the slope of the curve a the point P (b). To…

Q: Determine all points on the graph of ƒ (x) = x* – x² – 1 for which a) the tangent line is…

A: Tangent line is horizontal at those points on the graph where derivative dydx=0 (1) At first we find…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given curve:

Q: Find the slopes and equations of the lines tangent to y = f(x) at the given point.

A:

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: Given function is and point is

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The given function is (a) Find the slope of the function  at given point P(0,8) is

Q: Find the equation of the tangent and normal line to the following curves at an indicated points:

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A:

Q: Determine, if any, the points P=(x,y) on the curve below for which the tangent line has the smallest…

A: Minimum slope of line

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Concept: A definition of a function is that a relation from a set of inputs to a set of possible…

Q: Find an equation of the tangent line to the graph of f at the given point. f(x) Vx, (81, 9) y =

A: Slope of the tangent is obtained by dy/dx

Q: In the given equation , find the slope of the tangent line to the graph at the given point :-…

A: Given the equation is  x2+4y=8. Point given on the graph is (2,1). To find the slope of the tangent…

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: The given function is y=x3 and the point is 2,8.

Q: y-e-x4cos4x ស

A:

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: Given, y=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =…

A: Topic = Coordinate geometry Correct option = D

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The given function is fx=4x2. Obtain the derivative of the function as follows: f'x=ddx4x2=-8x3…

Q: x3 + y3 - 6xy = 0, (4/3, 8/3) Folium of Descartes: (4/3, 8/3) 3- y 2 -2 2 3 -2

A:

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we have to find the slope m and also the equation of the tangent

Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: Find an equation of the tangent line to the curve at the given point. y = sec(x), (7/6, 2/3/3)

A:

Q: y 1

A: (a) The slope for the tangent is given to be 0. This represents that the tangent is parallel to the…

Q: Find the equation for the tangent line to the given curve at the point where x=x0…

A: Given : y = (x2 + 3x -1)(2-x) and x0=1  To find :  Equation for the tangent line to the given curve…

Q: Consider the following curve. Find y'(x). -*+4 y'(x) = (4 + *)? (+ )» Find an equation of the…

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Q: Find an equation of the tangent line to the graph of the function at the given point, f(x) = e−x −…

A: Equation of tangent line at point x0, y0 is y-y0=mx-x0 Where 'm' is slope and m=dydxx0,y0

Q: Find an equation of the tangent line to the graph of the function f defined by the following…

A: Given:

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = −1 and B ′(24) =…

A: Given thaty=B24 x=24y=B24 =-1B'24 =-14To :find equation of tangent line Solution :equation of line…

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

A: The given problem is to find the tangent line to the curve f(x)=x/(x+4) at the given point (-5,5).…

Q: Find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A:

Q: Find an equation of the tangent line to the function y = at the point; 0 P(2). (6) P(4)-

A:

Q: Find an equation for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A: gx=4x+3P-5,10

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

A: Given: y=x, (81, 9)

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: Given information: The function is ƒ(x)=3x + 3 and the point is P(2,3). (a) To find: The slope of…

Q: Find the slope of the tangent line to the graph of the function at the given point. 6. g(x) =x + 2,…

A: We have to find slope

Q: find the slope of the line tangent to thegraph of ƒ at P.b. Determine an equation of the tangent…

A: The instantaneous rate of change in f at a isslope of tangent=limh→0f(a+h)-f(a)hwhich is also slope…

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given: y=7-x Differentiate given equation with respect to x we get, dydx=-127-x Now at the point…

Q: Find the equation for the slope of the tangent line to the curve below at any point (x,y). 2x + 5y =…

A: Given, 2x+5y=3y

Q: Find y' and the slope of the tangent line to the graph of the equation below at the indicated point.…

A:

Q: Find the equation of the curve at every point of which the tangent line has a slope of 4.r. (a) (h)…

A:

Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Given a curve, y=1x and a point P-2,-12 (a) To find the slope of the curve at the given point. (b)…