Let f(x)=x+2 A Find the linear approximation of f at =7 In other words, find the tangent line to the curve y=f(x) at the point (7,3) B. Use you answer above to approximate o oI The final answer should be a fraction with a whole number on top and bottom For the toolbar, press ALT+F10 (PC) or ALT-FN+F10 (Mac). BIUS Paragraph Arial 10pt - E四す6) ...

Q: 7. уз y =/x³ – 1/1+ vx

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Q: use the given condition to write an equation for the line in slope int form  passing through (4,8)…

A: To write an equation for the line in slope int form  passing through (4,8) and (7,3)

Q: Find the derivative of f(x) = √5 - 4x. To enter √a, type sqrt(a). f (2)

A: The objective objective is to find f'(x).

Q: For F = (3xyz^2,y^2sinz,xe^(2z)). Find ▽⋅F and ▽xF.

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Q: b. f(x)=7x²e"

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Q: 3. Use the limit definition of the derivative to find the derivative of the functic a) f(x) = 2x² +3

A: The given function is The limit definition of derivative

Q: Find an equation for the tangent line to y = g(x) at the point (2, g(2)). Write your result in…

A: From graph we have g(2)=4 and therefore we compute the tangent of the graph y=g(x) at the point…

Q: The standard error of the constant is

A: Given : Standard Error : Standard error of a statistic is the standard deviation (SD) of its…

Q: y= +1) %3D

A: Given y=x(x2+1)4 Differentiate with respect to…

Q: Let f(x) = x¹ + 2x³ + 3x² + 2x. Then f'(x) is and f'(2) is f''(x) is and f''(2) is

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Q: Explain how you would approximate the slope of the tangent at a point without using first…

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Q: Use the product rule to differentiate the function: y = 2x-3ln x & for the derivative found, find…

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Q: Differentiate the function L(x) = -6e"(cscx + 7cotx). Answer L'(x) =

A: Given Equation : L(x)=−6ex(csc(x)+7cot(x))   L'(x)= derivative of L(x)

Q: A tunnel for hydroelectric power is to be constructed through a mountain from one reservoir to…

A: Here, we are solving the first question and for the 2nd question post the question again.   Given, A…

Q: -(-3 y= 2³ +9r 4 3r

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Q: y = 2x² - 8x. Determine the slope of the tangent to the function at x = 2.

A: To find the derivative of the function y=2x2-8xusing first principles,we start by using the…

Q: How do you use the second derivative test to analyze concavity of a function?

A: We know that, If the second derivative of the function f(x) is defined on an interval (a,b) and…

Q: If ƒ(x) = (2x² − 2)(7x + 3), Use the product rule to find: ƒ'(x) = ƒ' (2) =

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Q: Differentiate the function. u = Vi + 4Vt3 u' =

A: The given function is,

Q: 2. Determine the derivative of the function f(x) = 2x² ecos 2x Express you answer in simplified…

A: Given :-  The function To Find :-  The derivative of the given function.

Q: Find f. f"(x) = 4x3 – 6x² + 5, f(2) = 1, f'(3) = 2 %3D

A: Here, f''(x)=4x3-6x2+5⇒f'(x)=∫(4x3-6x2+5)dx+C             =4x44-6x33+5x+C             =x4-2x3+5x+C…