Find the slope of the graph of the function f(x) = /2x at (2,2). Then find an equation of the line tangent to the graph at that point. The slope of the graph of the function f(x) = 2x at (2,2) is (Type an integer or a simplified fraction.)

Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: Find the derivative of the function and then evaluate at the given point. у 3 3x2- 2x; (- 1,5)

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: To Determine: Find the equation for the function f that has given derivative and whose graph is…

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Graph the function and the indicated tangent line. Graph f(x) = -4x2 and the tangent line to the…

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Q: Find the derivative of the function.(x2 + 9)(x3 + 6)/ x2 + 3

A: Consider the function

Q: Determine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent…

A: Our aim is to determine the coordinates of the points on the graph off(x)=5x3-2x2 where the tangent…

Q: find the derivative of the function g(x)=5x^-3+ 6x^-6

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Q: Find the derivative of the function. f(x) = 2x3 − 5x2 + x

A: The derivative of xn is given by:…

Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

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Q: for the function, how do you find (a). the equation of the scant line through the points where x has…

A: Part (a)y = f(x) = x2 +2x ;    x1 = 3 and x2 = 5x1 = 3; hence, y1 = x12 +2x1 = 32 + 2 x 3 = 15x2 =…

Q: Find the derivative of 3 4x 2 - (²x - ²)² 2x You should leave your answer in factored form. Do not…

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Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: Find the relative extrema of the functions f(x)=-4x2-32x-62. Identify any maximum or minimum by…

A: Given function is Differentiating f (x) with respect to x, we get Now, we will find critical…

Q: Find the equation of the line that is tangent to the graph of f(x)=(3x+1)/(4x-3) at the point where…

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Q: Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the…

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Using the second derivative criterion, find the graphs of the functions a) F(x) = x*– 8x² +3

A: Given- (a)  Fx=x4-8x2+3 To Find- The graph of the above functions using second derivative.

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find the higher-order derivative. f"(x) = 60x4 x3 p(5)(x) =

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Q: Find the derivative of the function. f(x) = (2x − 4)4(x2 + x + 1)5

A: The given function is fx=2x-44x2+x+15 By power rule of differentiation, we have  ddxxn=nxn-1…

Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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Q: Consider the function g(x)=(3x2-5x)(2x-3)(2x³+5x-6)(4x5-3x²+2x-8). Find the equation of the line…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: Find the derivative of the function. f(x) = (2x − 2)4(x2 + x + 1)5

A: Important Points: [ A(x) B(x) ]' = A(x) B'(x)  +  A'(x) B(x)  [ xn ]' = n xn-1

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

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Q: Find the slope of the graph of the function at the given point. F(x) = 4x5 + 5x - sin(x), (0, 0)…

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Q: Find the derivative of the function. 4 2x - x2 f(x) = %3D x2 - 6 f'(x) =

A: given,        fx=-x2-2x+4x2-6

Q: Find the derivative of the function f(x) = 5x-3 + x² + 14. f'(x) =

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Q: Find the equation of the tangent line to the graph of the function f(x)=4x3+5−−−−−−√ at the point…

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Q: find the derivative of the function f(x) = 6x^2(x-5)

A: f(x)=6x2x-5f'x=ddx6x2x-10=6.ddxx2x-10Appply generalized power rule:[u(x)v(x)]=u(x)v(x) [ln(u(x)) .…

Q: Find the first and second derivatives of the function. (6t2 - 4)2 (5t2)

A: Given function: f(t) = (6t2 - 4)2 (5t2) = (36t4 - 48t2 + 16) (5t2) = 180t6 - 240t4 + 80t2 Recall the…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the derivative of the function. 4 3 g(x) = x +4x - 2x - 5 g'(x) =

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Here we use the process of integration and use the given point to calculate the constant of…

Q: Find the equation of the tangent line to the graph of the function f(x)= 2+5 z-8 at the point

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'(x)=-2x8-x2;(2,8)

Q: ind an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given

Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 4x − 5x2…

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Q: find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 7x − 4x2…

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x^2+9)(x-3) at the point…

A: Given : f(x) =(x2+9) (x-3)

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: The given function fx=x4-25x2+144; x=-1. Obtain the slope at x=-1as follows.…

Q: Using the second derivative criterion, find the graphs of the functions b) F(x) = x³/3 - 9x + 3

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Q: Find an equation of the line tangent to the graph of f(x) = 5 – 5x at (3, – 40). The equation of the…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: To determine: The slope and the equation of the tangent line to the graph of the function f at the…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: f'x=-2x8-x2    passes through the point2,2x,y=2,2Indefinite integral:∫f'x dx=Fx+C

Q: Find the derivative of the function. 3 - 4x – x2 x² f(x) x² - 5

A: Topic-differentiation

Q: Find the slope and the equation of the tangent line to the graph of the function at the given value…

A: Topic = Derivative