Find the point on the graph of the equation f (x) = x² – 8 that is closest to the point (0, -2)

Q: Find the higher order derivative  f'(x)=7x2-9x2+4x f'''(x)=

A: We will use the following : ddxxn = nxn-1 ddxc = 0 where c is constant.

Q: 3x+4 3. f(x) = x2+3

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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 the derivative of the function f(x)=(2x-7)/(3x-2)

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Q: The first derivative of f(x) = (5x^4 - 6x)^1/3 will be?

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

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

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

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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) =…

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Q: Use the chain rule to find the derivative of 13 f(x) = 3(6x* – 5a³)* You do not need to expand out…

A: Given that:f(x)=36x4-5x313To find f'(x)

Q: Find the derivative of h(x)= (-2x-3)7/ (4x+2)4 You should leave your answer in factored form.

A: To differentiate the given rational function (quotient) in the required (factored) form

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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Q: Use the chain rule to find the derivative of f(x) = 4(8z³ – 32")² You do not need to expand out your…

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Q: Match the function from the left side to its derivative. 1. x16 -4x-5 3 a. 2. 15 b. 3. ** 15x4 с.

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

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Q: Find the second derivative. f(x) = 7e¯x – 6e-7x | f"(x) :

A: First derivative is f'(x)=7e-x(-1)-6e-7x(-7)=-7e-x+42e-7x

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 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 of the line that is tangent to the graph of the function f(x)= 2x and parallel to…

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Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

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

A: The function is given by fx = 4x3+6x2-6x-5 To evaluate: The equation of the tangent line to the…

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: Find the derivative of the funchion f(x)=9x-5

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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: Find the higher order derivative. f"(x) = 3x² + 2x – 15 f(5)(x) =

A: f''(x)=3x2+2x-15

Q: Use the chain rule to find the derivative of 15 f(x) = 4( – 2a + 10x')" You do not need to expand…

A: We can find the derivative using chain rule as below

Q: Find the second derivative for the function f (x) = 4e . 1 - 2x3

A: Given: fx=4ex-12x3 for finding second derivative of given, we find first derivative then find…

Q: I need help with finding the derivative.  y=(2x^2   +   1)^2   (x-1)^3

A: Given: y=2x2+12x-13 We know that ddxu.v=vdudx+udvdx…

Q: Find an equation of the tangent line to the graph of the function f(x) = 2x² - 4x +5 at the point…

A: Given, f(x)=2x2-4x+5

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: 1 y = 8x* + 7x³ + =x² – 14x + 6 %3D -

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Q: Find the anti-derivative F(x) of the function f(x) = 2x - 7 with F(2)=55- %3D

A: We have to find the anti derivative of the given function following the given condition. anti…

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

A: Differentiation use product formula

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

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 equation of the line tangent to the graph of f(x)= 7x³ +5z2 - 3z- 3 at z = -5. %3D

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Q: Find the equation of the line tangent to the graph of f(x) = x² + = - 9 at x = 7. y = help…

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Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: Find the second derivative of the function f(x) = 8/(x − 2)2

A: Find the second derivative of the function f(x) = 8/(x − 2)2

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: 6. Find the local maximum and minimum values of f (x) = 9 + 9x² – 6x³ using both the First and/or…

A: In this question we have to find local maximum and minimum values of the function.

Q: Find the derivative. (with solution) f(x)=2x²-3x+5

A: The derivative of a function is given by the expression limh→0f(x+h)-f(x)h. For some standard…

Q: ***** Find the derivative of the function. Express the 2+3 f(x) 4- x2

A: The function is in the form of u/v. Kindly follow the attached imaged.

Q: Find the second derivative of f(x) = 3e³* – 8e** -6.x 10)

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Q: Q3\ Find the second derivative of the funetion F(x)= 3x + 2x - 6x2 -4

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