8) Sketch the function with the zeros (x + 3) (x=1) (x= 2)and: the y-intercept of -6. After doing this, cirele and clearly indicate when the rate of change is positive, negative and zero on the graph.

Q: What is the slope of the line tangent to the graph of a function defined by f(x)= 2x²-4x+5 at…

A: f(x)=2x2-4x+5Let y=2x2-4x+5Differentiate

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

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Q: C20+3xHo

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Q: Find the equation of the curve for which y"= 2x³. The slope of the inflectional tangent at (-1, 3)…

A:

Q: What is the maximum slope of a tangent to the function f(x) -x³ + 4x - 2? ==

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Q: An equation of the line tangent to the graph of f(x)= x(1-2x) at the point (1,-1) is

A:

Q: -Find the range of the function y = 2 - sin3x

A: Introduction :

Q: Find the slope m of the line tangent to the graph of the function f(x)=9-x^2 at point P(4,-7).

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Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

A:

Q: 4. Find the slope of the tangent to the graph of f (x) = x³ + 3x² + x at its point of inflection.…

A: Slope of the tangent is obtained by dy/dx

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: Determine the equation of the line tangent to the graph of y = x° + 2x at the point (1, 3).

A: y=x3+2x   x1,y1 =1,3dydx=3x2+2slope of tangent at point1,3dydx1,3=312+2 = 5Slope of the tangent m =…

Q: A3) Find the equation of the line tangent to the graph of f(x) = 5x+7x ---.

A:

Q: Using the criterion of the first derivative, find the graph of the function: F(x) = 114 (x*) + 4,…

A:

Q: 14. Find a function whose tangent has slope 4x+1 for each value of x and whose graph passes through…

A:

Q: 4) Determine an equation for the tangent to the graph of the curve y = (6x - 3)(-x? + 2) when x = 1.…

A: Note: To draw the tangent of a curve at a given point, first we have to find out the slope of the…

Q: How can you use the slopes of tangents to determine whether a function is increasing, decreasing, at…

A:

Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

A:

Q: What is the rate of change of the function y = - 2x – 1?

A: The rate of change

Q: (8 points) Find the slope of the line tangent to the graph of 1 f (x) = 2x* – 32x + 17x2 – 9x + 4 at…

A:

Q: Find an equation of the tangent line to the graph at the given point .

A: Given function: fx=16xx2+16  ……1   To find: Tangent line equation at point -2, -85.

Q: 10. Find the slope-intercept form of the equation of the line tangent to the graph of y arctan(9x)…

A: Given y = arc tan9xand x=39here we find the slope - intercept form of the equation of the line…

Q: Find an equation of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

A:

Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: slope m of the line tangent

A:

Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

Q: 4. Find the equation of the curve for which y""= 2x³. The slope of the inflectional tangent at (-1,…

A:

Q: 1. What is the instantaneous slope of y = 5 at x = 5?

A:

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Determine the equation of the line tangent to the graph of f ( x ) = 3 x 2 − x + 4 at x = − 1.  Give…

A:

Q: How fast does the  slope of the curve y= (x2+x+1)2 change at the point where x=2

A: First derivative of a function represents the change in function or slope of the function and second…

Q: 7. Find the equation of a line tangent to the graph of f(x) = cotx at x = π/4. Show all steps to…

A: Given :fx=cotx

Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

Q: The slope of the tangent line to the graph of the function y = 8Vx – 2 at (4, 14) is 2.00 3.50 -3.50…

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Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

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Q: 3. Find the slope of the curve of the function y = at the point P (2,-).

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Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: Sketch the graph of y= x²+ - by using the properties of the derivative. 2

A: To sketch the graph

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) = -6 and f'(2)= 5.…

A:

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: 14. Find the slope of the curve y = 2x3 – 3x at (-1 , 1)

A:

Q: What is the equation of the line that crosses the y-axis at 2 and h. a unit rate of ?

A: We have to find the equation of the required line. The required line crosses the y axis at 2, that…

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: line has a slope of f ' ( x ) = 7x -10 / 11 given that

A:

Q: The slope of the line through the distinct points (x1, y1) and (x2, y2) can be interpreted as the…

A: The slope of the line through the distinct points (x1, y1) and (x2, y2) is defined as…

Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

A:

Q: What do you look for when you need to match the graph of a function with the graph of its…

A: Observe the behavior of graph as the value of x increases.