What are the x intercepts to the function y=(x-a)(x+b)?

Q: What point on the function, y = 3x2 is the closest to (0, 1)?

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Find the first and second derivative if y = x3+3x2+7

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Q: Sketch the curve: f(x) = x* – 6x²

A: given function f(x)=x4-6x2we have to sketch the curve put the value of x=-2  , we get f(-2)=-8 put…

Q: Use the product rule to find the derivative  y= (4x2+5)(5x-3)

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Q: What are the x- and y-intercepts of a function, and how are they found?

A: The x-intercept is the length from origin to where the graph of the function cut the x-axis.   The…

Q: Does the equation 3x + y2 = 10 define y as a function of x?

A: We will solve the equation for y first.

Q: Find derivative: (b) y= -3 -3x4

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Q: find the derivative  f(x)= (2x-3)6(3x+4)

A: Given function is f(x)=(2x–3)^6(3x+4). Formulas used:

Q: y = 6x2+2

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Q: Differentiate the function: y= x^3 - 2x

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Q: Find the slope of the curve y = x3 + 8x +14, where the curve crosses the x-axis

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Q: 5 X y = (2x² – 3)

A: given y=x5(2x2-3)we need to find the derivative of the given equation

Q: What is the slope of the graph of f (x) when x = 1?

A: Given: Function f(x).

Q: What is the y-intercept of y=csc x?

A: y=cscx

Q: What is the y-intercept of the function whose equation is y = 2(3)x?

A: To find y intercept  put x=0

Q: Find the derivative of the function. y = 5x² + 2* + 3

A: The sum rule of differentiation states that ddx(f(x)+g(x))=f'(x)+g'(x). The differentiation of the…

Q: What is the y-intercept of the graph of the line y = f(x)?

A: Given line is y=f(x).

Q: Plot the function fx) = x3- 2x2-10sin?x-e0.9x and its derivative for %3D -25x54 in one figure. Plot…

A: The given function is  f(x)=x3-2x2-10sin2(x)-e0.9x and so the differential of the function is ,…

Q: Use the Chain Rule to find the derivative of the function. y = (3x2 - 7)3

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Q: Use the product rule to find the derivative. y = (2x²+5)(3x - 2)

A: Here given that y=(2x2+5)(3x-2) We have to find the derivative of the function y i.e. y' by using…

Q: Find the point at which the line f() = --1 intersects the line g(a) 2 + 8

A: Two lines f(x)=-x-1 and g(x)=2x+8 , we have to find the point at which both lines intersects.

Q: Find the derivative. y = 2x-3/4 - 3x-7/6 + 12x-5/3

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What are the points of inter section of y = 8 and f(x)

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Q: find the derivative f(x)=(2x3-3)2/3

A: Consider the given function

Q: Find the derivative:   f(x) = (4x3-7x+9)5

A: Given:  fx=4x3-7x+95 To Find: The derivative of the given function

Q: Find the derivative of the function. y = 3elx2 + 8)3

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Q: How do you prove step by step that this equation: y=2x+1 is a function?

A: The solution are next step

Q: The original function, f(X) =X², is transformed by a horizontal shift of 2 units to the right. What…

A: The given function is fx=x2. We have to find the transformation of the horizontal shift by 2 units…

Q: Find an equation of the line tangent to the graph of f(x) = 1-7x at (-5,- 174).

A: The given function is:fx=1-7x2The coordinate is -5, -174To find equation of tangent line

Q: Find the derivative. y = 2x3

A: To find the derivative apply chain rule

Q: What are the graphs of the constant functions x = x0, y = y0, and z = z0 in the rectangular…

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Q: What is the y-intercept of y = secx?

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Q: hat is the slope of the function f(x) =6x3 -7x +4 when x=1?

A: The function is given as f(x) =6x3 -7x +4

Q: 8. y = (3x² + 7)²

A: y=(3x2+7)2

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: Find the derivative of y = (7– 6x4)*

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Q: Find the derivative of the function using shortcut rules.y = 4x2+ 13x + 13

A: Consider the function y=4x2+13x+13 To find the derivative of the function, use below rules of…

Q: Find the derivative. 6) y = 8x2e¬x

A: We use the product rule to find the derivative

Q: Find the derivative and simplify. y = (2x + 4)(7x5 - 7x* - 7)

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Q: Sketch the curve. Show your solutions. f(x) = x4 - 6x2

A: Consider the given: fx=x4−6x2Apply exponent rule:     ab+c=abacfx=x2x2−6x2Factor out common term…

Q: Differentiate the function y=sec(3x)+5-2

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Q: ) Sketch the curve: f(x) = x* – 6x²

A: Given function is fx=x4-6x2

Q: Find the derivative. y = 2x 4 - 6x 3 + 5

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Q: Differentiate the function. y = (2x* - -x+1) (-x* +3) y' = D

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Q: Find the derivative. y= 4x²e- x- y%3D4X

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Q: Identify the x-intercept of the function. 3) 5x - 2y--6 B) C) (-6, 0) E) (3, 0) D) (5,0)

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Q: What is meant by x-intercept?

A: Let's try an example.Consider the equation 2x+4y=8.

Q: What is meant by y-intercept?

A: Definition:“y-intercept is the point where the graph intersects the y-axis”.