Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x + 10.

Q: Find the points on the graph of y = tan x, 0sxs2n, where the tangent line is parallel to the line 4x…

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Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

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Q: Find the equation of the tangent line to the curve y = 8 ln(x – 63) at the point (4,0). y =

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Q: Find an equation of the tangent line at the point indicated. y = ln(sinx),      x = π /4

A: The equation of a tangent line can be calculated using the slope point form of the equation of line.…

Q: Find the equation of the tangent line to the curve x 1- cose, y = 0 -sin0 at 0=. 4

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Q: what is the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2^x) at x =…

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Q: Find the equation of the tangent line at the given value of x on the curve. 2y' +xy - y = 54x*, x= 1…

A: Explanation: Given that: 2y3+xy-y=54x4 x=1 Concept: The standard equation of tangent line y=mx+c…

Q: 3. What is the slope of the tangent line to y = 4* at x = 0?

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Q: Find an equation of the tangent line to y = 5 tan(x) at x =

A: Given problem:- Find an equation of the tangent line to y = 5tan(x) at x = π/4 .

Q: π Find the equation of the tangent line to the curve y= Jx² –sin-(4x) at x =-. 4

A: We are given the equation, y=x2-sin24x at x=π4. Here,           dydx=x2-sin24x'…

Q: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given :          y=lnx3-7

Q: 2 Find the equation of the tangent line to the curve y =xNx +5 at the point (2,6)

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Q: /4 Find an equation of the tangent line to the curve of y = sin2 x tan x at x 1

A: Consider the given curve.

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: | If In(x² – 3y) = x – y + 3 and y(-2) = 1, find y (-2) by implicit differentiation. y(-2) = An…

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Q: Find the slope of the tangent line to the curve defined by 4x + xy – y* 1760 at the point (8, –4). e…

A: To find the slope of the tangent line to the given curve at the given point

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: 3. Find the equation of the tangent line to the curve f (x)= (1+2x)'" at the point (0,1) in…

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Q: y = 16 X + x² at x at x = 4.

A: Given Equation :- y=16x+x2  Find the equation for the tangent line to the curve at x=4

Q: Find the tangent equation to the curve y = sin² x at point x = 3.

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Q: Find the equation of the tangent line to the curve f(x)=x9 ln(x2) at x = e. (Do not approximate)

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Q: Find the slope of the tangent line to the curve y3 + yx2 + x2 − 3y2 = 0 at the point P(0, 3) by…

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Q: Find the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: Find an equation of the tangent line to ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: Find the slope of the tangent to the curve y= 2 sin'x at x-

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Q: Find the equation of the tangent line to the curve y = 4r- 3r through the point r= 2 using the…

A: Given curvey=4x-3x2

Q: Find the equation of tangent line to the curve at the given point x2 + 2xy - y2 + x = 2 (1, 2)

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

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Q: Find an equation of the tangent line to x2 +xy – y³ = 7 at the point (3,2). (You must use implicit…

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Q: Find the slope of the equation of the tangent line to the curve at (0,1). 2x y = e2* cos IX

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Q: Determine the equation of the tangent line to f(x) = ln(x-2) at x=4.

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Q: Find an equation of the tangent line to the curve y = 2x sinx at the point (π/2,π)…

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Q: Find an equation of the tangent line to y = 5 sin(x) at x 4

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Q: The slope of the tangent line to √x+y+√√xy = 2y at the point (2,2) is:

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Q: Find the equation of the tangent line to the function y = sec'x at the point :2 4-

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Q: Find the equation of tangent line to the curve f(x) = x² at x = 3.

A: Topic = Derivative

Q: Find the point where the tangent line to y = 5x at x = 0.5 crosses the x-axis.

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Q: Find the equation of the tangent line to the curve x = 1 - cose, y = 0 -sin0 at 0= 4 -

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Q: Find an equation of the tangent line to y = 7 tan(x) at x = 4

A: The given function is y=7 tan(x) at x=5π4

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

Q: Find the equation of the tangent line to the curvey = 2 sec x – 4 cos x at the point G, 2)

A: Let's find equation of tangent line.

Q: Find the equation of the tangent line to the curve y = 2 In(x³ – 26) at the point (3, 0). y =

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Q: Find an equation for the tangent line to the curve y = 2/x at the point (2, 1) on this curve.

A: Given, Equation of curve : y=2x      (i) Common point = (2,1)

Q: 4. Find the equation of the tangent line to the function y = In (x² – 2) when x=3.

A: Question is solved.

Q: The slope of the tangent line to the curve 2xy + T cos y = 2n at point (1,“) is:

A: The given equation is 2xy+π cos y=2π and the point is 1, π2. Evaluate the slope  y' using implicit…