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

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 an equation of the tangent line to the curve 2ax? +y² – 6x = 0 at the point P (1, -2)

A: Differentiate the equation with respect to x to find the value of dydx. 4x+2ydydx-6=0dydx=3-2xy

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

A: a). Slope of the curve is the derivative of the curve at the given point. So differentiating given…

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

A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

Q: Find the equation(s) of the tangent line(s) to the graph of the equation at the point x = 1: xy?…

A: given xy2-y-2=0 to find the equation of tangent at x=1

Q: Find an equation of the tangent to the curve at the given point. x = 2 + t2 − t,    y = t2 + 2,…

A:

Q: Find an equation of the tangent line to the curve y 4t at the point (3, 3). t+1

A: Since you have asked multiple questions in single request  so we  will be answering only first…

Q: Find the slope of the tangent line to the curve y = (1+4x)? at the point x = 2.

A:

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 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 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(s) of the tangent line(s) at the point(s) on the graph of the equation y -xy + 12…

A: Solution is below

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: 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: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

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

A:

Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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:

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

A:

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

A: Giveny=x3−3x2+4,P2,0

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: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

A:

Q: Find an equation of the tangent to the curve at the given point. (1) X²+4xy-y²-4x=1, (1,2) (2)…

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

A: We have to find: a slope of the curve at the given point P and b an equation of tangent at the given…

Q: nd an equation of the tangent line to the curve at the given poir y = x4 + 9x2 - x, (1, 9)

A: We will find the tangent line.

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 the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A:

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: 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 the function at the given poin y = x²ex - 2xex…

A:

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

A:

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 the equation of a tangent line that is tangent to the graph as stated below 3x 5y = -17 at (-1…

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: Equation of tangent to a curve y=f(x) at a point (x0,y0) is y-y0=f'(x0)(x-x0)

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

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

A: