Find the slope of the tangent line to f(x) = x² – 3x at (-1,4). O 4 O -1 O 2x-3 O-5

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

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Q: Find the equation of the tangent line to the graph of f(x) = -2(3x – 1)³ at . Show work or explain…

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Q: Find the equation of the tangent line to the function f(x)=x3−2x2−3x at the point (1,−4)

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Q: By using fixed points find the roots of equation f(x) = x + 4x –- 2 x, = 0 E= 0. .0001

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Q: dy at(5, 4) for the following by implicit differentiation: dx x6 = 36 2. Find

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Q: x3-x2-9x+9.  Find the pos

A: Given function:  h(x) = x3-x2-9x+9   slope of tangent line : m= h'xm = ddxx3-x2-9x+9m =3x2-2x-91+0m…

Q: 2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

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Q: 4. Connecting back - Find the equation of the tangent line to the curve f(x) = 3x² + 2x − 5 through…

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Q: √x √x + √√y = 1

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Q: Find where the tangent line is horizontal for x to the power of 3 +3x to the power of 2 -9x +3

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Q: 9. f 6 sec¹ xdx

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Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: 2. Find the derivative of each function. Simplify if possible. a) f (x) = 5 (vã – 3) (2 – 3x²) 3x-6…

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Q: Excrcise 10. Find the derivative d -7x * [" (t³ + 2) dt dx

A: Given,          ddxx∫57xt3+2dt

Q: Locate the point where the slope of tangent line to y=In 2x² IS –1- O (-1, In 2) O (-2, In 8) 9. In…

A: Given  y=log(2x2)Slope =dydxdydx=4x2x2=12x

Q: nd frr for the function z = x ° - 6xy+ 4y .2 30x 2- 42x 6x- 6y

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Q: If a = 1 − v^2 and both x and v are zero when t = 0, show that x = −1/2ln(1-v^2) and hence find v^2…

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