Find an equation of the tangent line to the graph at the given point. x?y2 - 9x² – 4y² = 0, (4, 2/3)

Q: nd the equation of the tangent line to the graph of ƒ(x) = (1+x³)−² at the point

A: Topic:- application of derivatives

Q: 59. Find an equation for the tangent line to the graph of y = xV2x + 3 at the point (3, 9).

A: Given that the function is y = x2x+3 To find the equation of tangent line at point (3,9). To find…

Q: Find the equation of the tangent line at the given value of x on each curve.  y3 + 2x2y - 8y = x3 +…

A: The given curve is  y3+2x2y-8y=x3+19 .......(1) differentiate of eq(1) with respect to x

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find the exact value of the slope of the tangent line to the graph of 2 – x? – a² + 3xy – 3y = 1 at…

A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

Q: Find an equation for the tangent to the curve at the given point. y = (x^2)+2; (2,6)

A: Given:y=x2+2 (2,6)

Q: Find the equation for the tangent to the curve at the given point.

A: First find slope using y'Slope=48

Q: Find an equation of the tangent line to the graph of the function at the given point. y = (e4x −…

A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex5 −…

A: Given equation of curve is Differentiating with respect to x, we get We know that slope of tangent…

Q: Find the slope, m, of the equation of the tangent line to the graph of y= (2x + 1)e* at the point…

A: derivative

Q: Find an equation of the tangent line to the curve at the given point.y=8x-6x^(2), P(4,-8)

A: y=8x-6x^(2), P(4,-8)Let the equation of the tangent: y=mx+cSlope of the tangent =m =  dy/dx.

Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x? –…

A: Given:    y=4-x2-ln12x+1 at (0,4)   We are given that x0=0   The value of function at given point…

Q: "Find the equation of the tangent line at the given value of x on each curve.:y3 + 2x2y - 8y = x3 +…

A: To Determine: Find the equation of the tangent line at the given value of x on each curve.:y3 + 2x2y…

Q: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: Use derivative for finding the equation of tangent line.

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=x2-4x and the point is 1,-3

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

A:

Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

A:

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

A:

Q: Find the equation of the tangent line at the given point on the curve. 2x2 + 2y? 29y-y e 58x/5, .2…

A:

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

A:

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

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: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

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: (c) Find an equation of the tangent line to the graph of x2/3 + y2/3 = 5 at the point (1,8).

A: Given: The equation of the graph is  x23 + y23 = 5 To find: The equation of the tangent line to the…

Q: Find an equation of the tangent line to the curve atthe given point.

A:

Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

Q: Find an equation of the tangent line to the curve at the given point. y =√(4-77x) ,  (−1, 9)

A: We have to find tangent

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex3 −…

A: We have been given a function g(x) and we need to find the equation of tangent line to the graph of…

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: find the equation of the line TANGENT of the given curve for x=pi/6 y=5cos(2x)

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the graph at the given point. x2y2 − 9x2 − 4y2 = 0,…

A: Given that, x2y2 - 9x2 - 4y2 = 0 Points are :  (-4, 23) We have to find the tangant line to the…

Q: Find the equation of the tangent line to the curve y = (1+2x)² at the point (3, 49).

A:

Q: Find an equation of the tangent line to the graph at the given point. x?y² - 9x² – 4y² = 0, (4, 2/3)…

A:

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A:

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4  at the point (1, 81).

A:

Q: Find the slope of the tangent line to the graph of the equation xy + 12 = 0 at (-2, 6). A. -1.5 В. О…

A:

Q: Find an equation of the tangent line to the graph of Y=x(x+1)^5 at the point (2,486)

A:

Q: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

Q: Find the equation of the tangent line to the graph of the given equation at the indicated point.…

A:

Q: Find an equation of the tangent line to the graph of f at the given point. y = x3 - 3x + 1, (3, 19)…

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Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

A: