According to the given graph, what is the value of So f' (x) dæ? Not enough information

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A: Given: If the slope of the tangent line to the graph of y=fx at x=a is ma=2a+1and f1=5. To Find: f2…

Q: Find an equation for the tangent line to the graph of y tan at the 100 2 point with r = 8.

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Q: if the tangent line to y=F(x) at (4,3) passes through the point (0,2), find f(4) and f'(4).

A: Concept - use the slope formula of straight line

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A: Near the point of tangency, say (x0, y0), the slope f'(x) of the curve f(x) is approximately equal…

Q: Show that an equation of the tangent line to the graph of =D2 at the point (a, b) is given by 2. b…

A: It is given that, Now take the derivative of the given function with respect to 'x'. Therefore,…

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A: Given that:  r=1+sinθ

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Q: Find an equation of the tangent line to the graph of the function                     y = (−1/4)…

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Q: The exact value of the slope of the tangent line to the graph of the curve r = 9 + 8 cos(e), at e =…

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Q: ind the equation of the tangent line to the graph of f(x)= 3e* +1 where x, = In 2.

A: Slope of tangent line is (m) given by derivative of curve at given point. Let the curve be f(x) and…

Q: If the tangent line to y=f(x) at (4,3) passes through the point ( 0,2) , find f(4) ,f  '(4)

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Q: A particle is moving in such a way that its velocity v is given by the equation v(t) = cost + sin t.…

A: Given : vt = cost + sint

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Q: For what values of x does the graph of f(x) = x + 2 sin x have a horizontal tangent?

A: Given query is to find the values of x for which function has horizontal tangent.

Q: find the value of tangent LA. C 12

A: we know that tangent A =tan Afrom ∆ABCtan A=BCAC

Q: Solve for the following implicit derivative: d²y si sen(y) = ycos(2x) dx?

A: We have to find the double derivative of the given function.

Q: For what values of x in [0,2pi] does the graph of f(x)= x + 2sin(x) have a horizontal tangent?

A: Horizontal tangent:The slope of a tangent of the graph of a function f (x) is df (x) ∕dx. For a…

Q: Find the arc length of the graph of the function f(x) = 2√³ from * = 2 to x = 6.

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Q: If the tangent line to y= f(x) at (4, 3) passes through thepoint (0, 2), find  f(4 )and f'(4)

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Q: Find an equation of the tangent Iine to the ollowing curve at the point (0, 5). xe' + ye* = 5

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Q: The exact value of the slope of the tangent line to the graph of the curve r = 5 + 4 cos(0), at e =…

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Q: [x € [0,x] T: sinx + cos (2y) = 1, y E 4: 4

A: Given equation of graph is sinx+cos2y=1 The slope of a graph at a point is given by the derivative…

Q: Suppose that the tangent line to the graph of f(x) = a") at a = 1 is equal to the tangent line to…

A: First of all, we find the equation of a tangent line to the curve: g(x)=-4-sin(1-e5x) at x=0, Note…

Q: e(s) is the tangent to the graph of f(x) = (3x – 1) paralle

A: f(x) = (3x - 1)2 Equation of the Line is :- 30x +2y = 1

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Q: If the slope of the tangent line to the graph of y-f(x) at x=a is m(a)=2a+1, and f(1)=5, then what…

A: m(a)= 2 a + 1 f'(x) = m(x) = 2x +1  Integrating f'(x) gives f(x); f(x) = 2(x2/2) + x + c f(x) = x2 +…

Q: If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4). f(4)…

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Q: What is the slope of the tangent line to cos(æ – y) = xe" at the point (0, ). O 1 -2 O None of these…

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Q: Find the values of x between 0 and 2n, if any, where the graph of y(x) = sin(x) cos(x) has a…

A: Given : yx = sinxcosx

Q: If the tangent line to y = f(x) at (4, 2) passes through the point (0, 1), find f(4) and f'(4). f(4)…

A: Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: The tangent line to the graph of y = In(x² – 1) .2

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Q: if the tangent line to the function at x=1 has the equation f(x)=(√x) + a and y=mx+3. FInd a and m.

A: Given:- The tangent line to the function at x=1 has the equation f(x)=(√x) + a and y=mx+3. To find:-…

Q: la y is not measurable. Wan

A: Given a statement

Q: The equation of the tangent line to the graph of VT is given by y = mx + b for y = tan(4x) at x = т…

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Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

Q: If the tangent line to y = f(x) at (3, 2) passes through the point (0, 1), find (3) and r(3). (3) =…

A: In this question, we need to find f(3) and f'(3).

Q: ,dy QI/ Find (- ) to the following functions: dx

A: We have to differentiate with respect to x.

Q: The derivative of the function y = sin VE at a = is equal to %3D 4 14

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Q: If y=mx+b is the equation of the tangent line to the graph of f(x) = X .2 - X at x= -1, then m= b3D

A: According to power rule of differentiation

Q: For what values of x does the graph of f(x) = 3e*cosx have a horizontal tangent line? 4.

A: Explanation of the answer is as follows

Q: Based on your computations, do youthink the graph of f has a tangent at x = 1? If so, estimate…

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Q: Given that the graph of J (X) passes through the point and that the slope of its tangent line at +…

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Q: i. Find the equation of the tangent to the graph of g at (4, 2).

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Q: The slope of the tangent line to the graph of y = In(ry) at the point (e, 1) is .2 Select one: a.-e…

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Q: Find the points on the given curve where the tangent line is horizontal. r = 2 cos 0

A: Follow step 2 .

Q: Find the equation of the tangent line at =n/6. r tan O

A: We Have to find

Q: Determine the largest value where Y = cos(3x) – 3x has a | horizontal tangent on 0 <x < 2n? Answer…

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Q: The f '(x) of the given curve is equal to -4 y = sin 3x ||

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