Find the derivative of: (9 – 6x). [Hint: expand first.] Now, find the equation of the tangent line to the curve at (1, 9). Write your answer in mx + b format y =

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

A:

Q: Write an equation of the tangent line to ƒ(x) = 7x² – 3x at x = - 1. Equation:

A: Given,

Q: The slope of the tangent line at any point (x, y) on a curve is 2/x. If the point (9, 3) is on the…

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Q: 2 dx (1+x²)3/2

A:

Q: If f(x) = 2x2 + 10x + 6, find the equation of the line tangent at x = %3D -1.

A: Given, f(x) = 2x2 + 10x + 6 So, y = 2x2 + 10x+ 6 for finding the equation of line  we first find the…

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 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 all points (x, y) on the graph of y = x2 −6 with tangent lines passing through the point (3,…

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Q: Find an equation of the tangent line to the curve y = (4x + 2)e at the point a = 0.

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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: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The implicit differentiation of the function is derivative of two variable function with respect to…

Q: Find the equation of the tangent line to the graph of the function f (x) = 4xcosx + 3 at the point…

A: Given that: f(x)=4x.cosx+3 at point (0, 3)

Q: State the rule that has to be applied first in order to differentiation the function y = -5te2t. a.…

A: We have a function y = -5te2t . Now we need to find which rule needs to be applied first to…

Q: Use sign charts for the first and second derivatives to graph y = 40x³ – 147x² + 180x – 73 on the…

A: We know  when f'>0 then function increasing when f'<0 then function decreasing when f''>0…

Q: If f(x) = 2x² + 4x + 9, find the equation of the line tangent at x = 2. -

A: To find equation of the tangent line we need slope and y intercept of the line.  Slope of the…