The following figure shows a schematic of the graphs of f (x) and g (x) Knowing that f´ (C) = 0.737, that C = 9.9 and D = 20.4 determine: • The equation of the tangent line to g (x) at x = D (slope mt and intercept e) • The equation of the normal line to f (x) at x = C (slope mn and intercept h) • g´ (D), E, ​​F

Q: .) Write the equation of the normal line of f(x)=2x^2-1/x at x=1? b.) Let y=4x^4+x. At what point…

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = -,; x = 3 X-2…

A: Given that fx=7x-2 Evaluate fx=7x-2 at x = 3.     fx=73-2f(x)=7 That is y1=7 Find the derivative:…

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Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

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A: Consider the given equation of curve, x+y=cddxx+y=ddxc12x+12ydydx=012ydydx=-12xdydx=-yx Therefore,…

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Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

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Q: #2. Find the slope of the tangent line to the curve at the indicated point: (a) x² +x°y² – y° =13 at…

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Q: 8. Find the equation of the tangent line to the curve y = e* at the point (a, f (a)) when a = In 3.

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Q: Determine the value of a, given that the line ax+y+1 = 0 is tangent to the graph of y= ax-6x+1 at x…

A: Given  y=ax2-6x+1find derivativey'=ddx(ax2-6x+1)y'=2ax-6+0y'=2ax-6at x = 1y'=2a(1)-6y'=2a-6

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Q: Determine the value(s) of x for which f(x)=9x+8 has a horizontal tangent line.

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A: (a) To write: The formula for the tangent line to f(x) at x=3. Given information:  If y = f(x) has…

Q: If y=mx+b is the equation of the tangent line to the graph of f(x)= x² - x at x= -1, then m=

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Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

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Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

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Q: Suppose f (x) = (x 2 − 2x) (3x + 2).What is the equation of the line normal to f(i.e., the line…

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Q: Find the slope of the tangent line to the graph of yx? + xy = 2 at (1, 1)

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Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

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Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

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A: Consider the given function.

Q: The slope of the tangent line to the graph of the function y = 5/T – 4 at (16, 16) is , O -1.50 O…

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Q: a) What is the slope of the tangent line to the graph of f at x= n ?

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a. f (x) = x4, a = 2

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Q: .Determine the equation of the normal to the tangent line at the point (2,1) for the function…

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Q: The slope of the tangent line to the graph of y = e3 at x = In 2 is

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Q: The slope of the tangent line to the graph of x + y + xy = 3 at (1, 1) is Blank 1.

A: Let's find.