Determine the equation of the tangent to each curve at the indicated value. f(x) = -4.9t2, t = 3.5 b. f(x) = (x²-3)(x²+1), x = -4 1 h(x) = (x4 + 4)(2x² - 6), x = -1 d. y = -x = -2 3x'

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: -2- Write an equation for the tangent line at x = 3 of the curve : 1 f(x)= /2x+ 3

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Q: The graph of y = xln x has one horizontal tangent line. Find an equation for it.

A: Given: y=xlnx We know that if a functiony=fx have horizontal tangent line then slopem of tangent is…

Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 7 at the point (3, 2.1). y =

A: Given curve is Differentiating with respect to x, we get

Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 9,  (2, 29)

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Q: Find an equation of the tangent line to the curve y 9tanx at the point %3D

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Q: Find an equation for the line tangent to the graph of 7x f(x) = x + 3 the point (2, 2.8).

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

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Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Find the slope of the curve at the given point P and an equation of the tangent line at P. y = x² +…

A: Let's find

Q: Find an equation for the tangent line to the curve y = xV 2x² - 14 at the point (3,6). O y- 6 = 14(x…

A: The equation of the tangent line to the curve is, y - 6 = 11(x - 3)  The detailed solution is as…

Q: Find the point on the curve y=lnx such that the tangent line pases through the point (2,4). Need to…

A: Given The equation of curve is   y =ln x The tangent line passing through (2,4)

Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

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.