Graph the polynomial function f(x) = -x'.

Q: (a): Find the critical points of the function f(x) = 8x² – 16x.

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Q: How can you say that f(x) = x² + x + 1 is a polynomial function?

A: Definition used -            Polynomial function -               In a polynomial function degree of…

Q: Find the second derivative of the function. f(x) = 4x3/2

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Q: Find the point at which the line f(x) = 3x – 9 intersects the line g(x) 3x + 9 -

A: The function f(x)=3x-9 and g(x)=-3x+9 intersects when f(x)=g(x).

Q: Write the equation of a line tangent to the graph of f(x) = -2x³ + 5æ3 – 5x — — —1 3 at the point x…

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Q: Obtain the TSE of f(x) = 2x² in powers of (x-1)

A: To Find: The Taylor Series expansion of function 2x-2 with center x=1

Q: Find the second derivative of  x2y-4x=5

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

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Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Find the horizontal and vertical asymptotic for f(x)= x^3 / (4-x^2)

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 -…

A: Given  The polynomial is  y = x2 - 4

Q: Find the inflection point of the curve f(x)= x³ – 12x²+7x+1.

A: An inflection point is a point on the graph at which the second derivative is equal to zero or…

Q: Find the gradient of 3e In(4x - 3) when x = 1.

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Q: Find the derivative of the function. f(x) = In(6x2 - 5x + 4) %3D

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Q: 9. Create the equation of a polynomial function where the instantaneous rate of change is equal to 0…

A: A polynomial is one of three basic mathematical functions. This function is widely used in different…

Q: Find a, b to Continue The function at x=35 * >3 3 X = 3 ax+b flx) = 2a-b+1 bx-a+3 X3

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Q: Find the derivative of the function. g (x) = 6x-3 + 2x Og (x) = 18x + 10x-6 %3D Og (x) = -18x-3…

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x2 +…

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Q: Find the slope of f(x) = -3x2 – 6x at x = 1

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Q: Find the function that has an output of 16 when x=2, and has zeros 1 and −2i.

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Q: Find the value of the constant (a, b, or c) that makes the function continuous.

A: for the function f(x) to be continuous, the f(x) must be continuous at x=3Then,2x+9x-1 =-4x+c2x+9x…

Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: Find the interval in which the function f(x) =xex is decreasing.

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Q: Use the product rule to find the derivative of the function f ( x ) = ( x 2 - 3x + 2 ) ( 4 x 3 - x 2…

A: Given- fx=x2-3x+24x3-x2+4 To find- The derivative of the above function. Concept Used- The product…

Q: The equation that does not represent a polynomial function is Oy = - = -x + Oy = x 10 - x + √22 + x…

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Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.iii) y =…

A: Given: y=x3-3x2+4=(x+1)(x-2)2

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative.y = x3 -…

A: Axis interception points of x3-33x2+216x:  X Intercepts: 0, 0, 9, 0, 24, 0, Y Intercepts: 0, 0

Q: Find the third degree function that has zeros 7 and -11i, and a value of 663 when x=10

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Q: Find the third derivative of the function f(x)=2x^(5)-6x^(4)+7x^2-9x+20

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

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Q: Find sum of two polynomial f(x) = x^3-7x+6 and g(x) = 5x^3-8x+1

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Q: Find the inflection points of f (x) = x* +x – 30x² + 6. Enter the exact answers in increasing order.

A: Given function  f(x)=x4+x3-30x2+6

Q: Find the second derivative of the polynomial function y=3x4−2x3+4x2−5x+1.

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Q: Use the chain rule to find the derivative of 8√3x^10+5x^3

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Q: The graph of a polynomial function, f(x), is shown above. In the interval shown, how many times with…

A: We know that for any functionfx, the second derivative of fx cross the x-axis means second…

Q: Find the equation of the line tangent to f(x) = 4x³ + 9x – 7 when x=3. O f(x) = 135x - 288 o f(x) =…

A: Given, f(x)=4x3+9x-7 and x=3 The equation of a line in point-slope form is given by y-y1=mx-x1…

Q: Find the greatest and the least values of the function y = x³ – 3x +3 on the 2 (a). interval [-, ).

A: Solve the following

Q: Plot the zeros of each polynomial on a line together with thezeros of its first derivative. y = x3 -…

A: Find the zeros of a polynomial.

Q: line to the functions: f(x)= v2 – 3x at x= -2 -

A: Definition used -                 Equation of a tangent to a point x= a for a function f(x) is…

Q: Find the second derivative of the polynomial functiony=3x4−2x3+4x2−5x+1.

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Q: Determine where f(x) = x² – 2 is increasing and where it is decreasing.

A: Given: fx=x2-2 The graph of the given equation is,

Q: Find the second derivative of the polynomial functiony=2x5+3x4−4x3+x2−6.

A: Given Data The polynomial function is f(x)=2x5+3x4-4x3+x2-6.   Differentiate the polynomial function…

Q: Find the interval in which the function given by h(x)= 4x – 6x – 72x + 30 is decreasing.

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Q: Find the interval where the function, f(x) = + - 8x is 4 decreasing?

A: Consider the given function.