Find the slope of the secant line between x=−1 and x=2 on the graph of the function f(x)=−3x3+4x2+2.

Q: Find all points of the graph of f(x) = 3x2 + 9x whose tangent lines are parallel to the line y - 57x…

A: Solution: Two lines are parallel if they have same slope.

Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: f(x) = v3x – 5 %3!

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Q: Find the equation of the line tangent to the graph of f(x) = 6x° + 5x² – 4x – 7 at x = -3

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

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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 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: For the function f(x)=2x^3-12x^2+20, Use the SECOND DERIVATIVE TEST to find the relative extrema.

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Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

Q: Find the derivative of the function. F(x) = (x* + 3x² – 2)*

A: Use chain rule to find derivative of given function as shown in step 2

Q: Find the point on the graph of y = 3x2 − 2x + 5 where the tangent line is perpendicular to the line…

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Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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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: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

A: The given function is- fx=2x3-3x2-12x To find the critical points of a function- dfdx=0…

Q: Use the chain rule to find the derivative of f(x)=5e^(3x^9−6x^10) f'(x)=____

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

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Q: Find f' (x) using the rules for finding derivatives 4x2 – 7x +1 f(x): 2x + 9 f'(x)=O

A: To find The derivative of f(x)

Q: Find the derivative of the function. y = (8x^2 - 5/ 2 - x) ^3

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Q: Find an equation of the line tangent to thegraph of f(x) =3/x at (2,3/2)

A: Given: y=fx=3x, 2,32 for finding of equation of tangent at given point we need slopem of tangent at…

Q: Use the second derivative test to find the local extrema for the function. y = 3x5- 25x3 + 60x + 20

A: We can use the application  derivative in order solve the given problem.

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: iven the function y=2x³-4x²+5,

A: Given, the function               y=2x3-4x2+5

Q: Find the derivative of the function. f(x) = V3x + 2

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Q: Use the chain rule to find the derivative of f(x)=3e^−4x^9+3x^3   f'(x)=

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Q: what is the slope of the curve

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Q: Find the equation of the line tangent to the graph of f(x) = −2x² + x + 3 at x = 1. Provide your…

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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…

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Q: Find the equation of the secant line on the graph of the function f(x)=7x2 between the points where…

A: take x=-1 . take x=5

Q: f(x) = (x + 2)(2x² – 3) %3D

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Q: Find f'(x) using the rules for finding derivatives 4x2 - 7x +6 f(x) = 2x + 1

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Q: Find the derivative of the function. f(x) = (3x + 2)3(x2 + x)2

A: Differentiation use product formula

Q: Write the equation of the line tangent to the graph of f(x) = -3x² + 5x +1 at x=1 and use it to…

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Q: Find the derivative of the function of y = (9x* + 6x-²) when x = 2

A: Given:     y=9x4+6x-2  differentiating on both sides    dydx=ddx9x4+6x-2    y'=ddx9x4+ddx6x-2 Apply…

Q: Use the chain rule to find the derivative of f(x) = 2e5a* + 9x³ %3D f' (x) =

A: We have to find

Q: What is the equation of the line tangent to f(x)= 4x²+2x-1 at x=O?

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Q: Find the derivative of f(x) = x ^2at x = 3.

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Q: Find the derivative of the function y=3x2−2√x+1.

A: y=3x2-2x+1Differentiate with respect to xdydx=ddx(-2x+1+3x2)

Q: Find the slope of the line normal to the curve y x3 – 2x + 1 at x = 2

A: Our Aim is to find the slope of the line normal to the curve y=x3-2x+1-(i) at x=2.

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find an equation of a line that is tangent to the graph of f(x) = x³ -3 and Perpendicular to the…

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Q: Find the slope of the line tangent to the graph of the function at the given value of x. 5/2 y = 9x…

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Q: Find the derivative of the function f(x) = x2 -8x +9 at the number a

A: The given equation is f(x)=x2-8x+9 The derivative of the function is the rate of the change in the…

Q: At what point does the graph of the function f(x) = x³ – 3x has horizontal tangent ? Find equations…

A: a) Points are (1,-2) and (-1,2) b) Lines are y=-x-1, and y=-x+3

Q: Find the derivative of the function. f(x) = x2 + 5 − 3x−2

A: Known fact: ddxxn=nxn-1ddxf±g=dfdx±dgdxddxk=0   where k is constant

Q: Find the derivative of the fractional function y=2x+1x3.

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Q: For k(x)=(3x+2)(−x+2)(−3x2+x+1), find the derivative of k(x) using the product rule.

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Q: Find the higher-order derivative    1. f ''(x)=16x^(3)-38x^(2)

A: Derivative

Q: Find the derivative of the function. f(x) = x3 − 2x + 3x−3

A: Consider the following function: fx=x3-2x+3x-3=x3+x-3 Differentiate fx with respect to x:…