Let f(x) = 3x – 5æ? + 4. Find the equation of the line tangent to the graph of y = f(x) at the point (2, 32). %3D The equation of the tangent line is y =

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Q: Find the slope of the line tangent to the curve at the given point. y = 7 cos x ; x = 4 C. - 7V2 7V2…

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Q: 4. For what values of x does y² – 2x3 – 12x? = 0 have horizontal tangent lines? A. x = 0 only В. x =…

A: The value of x for function Horizontal tangent lines ?

Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

A: y=x2-2x-3

Q: y = −2x4 + 4ax³ - 5x² - 8x + 1

A: Solution:-

Q: Q2) A/ Find the values of a and b if the equation of tangent at (2,3) on the curve y? . ax + b is y=…

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Q: ind the equation of line (L) that passes through the intersection point of he two functions y = v2 –…

A: According to the question, we need to find the equation of line perpendicular to the line 2x-4y=6…

Q: he slope of the line tangent to the curve y = x -8x3 + 22x2 - 24x +9 at x=1 is (a) -2 (b) 2 (c) 0…

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Q: S(r) = x – 2:r +4 What is the y-intercept of the tangent line that intersects the function at I= 2?…

A: We know that,The tangent point of the given curve can satisfied the equation of that curve.

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Q2: The equation of the tangent line to the graph of y=r2 and t=4x² at t=1 is (not that x is…

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Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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Q: The slope of the tangent line to the curve y = f(x) is perpendicular to the line 3x-2y =5. The slope…

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Q: use the method in Example 3 to find (a) the slope of the curve at the given point P, and (b) an…

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Q: r2x²+2x+1 Find the equation of the tangent line to the graph of F(x) = evy dy at x = 0. J sech x

A: We have to find the equation of the tangent line to the graph of F(x)=∫sechx2x2+2x+1eydy at x = 0.

Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: Find the coordinates of the point(s) at which the line tangent to the graph of the function f (z)…

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Q: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: 4. What is the slope of the curve of f(x) = v2x + 1 at x = 4? а. 3 b. - с. d. ! e. None of the above

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Q: f(x) = 3x² – 11z – 7; a = 2 The slope of the tangent to the curve at a = 2 is

A: Definition of derivative :The derivative of a function at a point f'(a)=limh→0f(a+h)-f(a)h

Q: Find the values of k for which the line y+ kx – 2 = 0 is a tangent to the curve y = 2x? – 9x +

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Q: S(r) = 2r2 +3r+2 What is the y-intercept of the tangent line that intersects the function at I= 2?

A: f(x)=2x2+3x+2

Q: For what value of x is the tangent line to the curve y= x2 – 6x + 5 horizontal? A B) -6 -3 D none of…

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Q: Use the equation mPQ = f(x1+h)-f(x1)/h to calculate the slope of a line tangent to the curve of the…

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Q: c. Find the equation of the tangent line to the curve x-t²-2t, y3t²+2t at the point t=2.

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: dy 4 Given the equation x + 4xy + y* = 8, evaluate Assume that the equation implicitly defines y as…

A: Given,            Fx,y=x2+4xy+y4-8=0

Q: 6.) Find the equation of the tangent lines at the point where the curve crosses itself x = t³ – 6t,…

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Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: Find the equation for the tangent to the curve y = exp [6x] at the point (7, e 294). f(x) = exp…

A: given: the equation of the function is: y=e6x2 the given point is: 7,e294

Q: For what value of x is the tangent line to the curve y= x² – 6x +5 horizontal? (A none of the given…

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: s) Find the equation of the curve that passes through the point (3, 2) if its slope is giv dy = 8x –…

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Q: Find the equation of the line tangent to fƒ(æ) = e² (x² + 3x) at the point (–2, –2e¯²). O y = -3e-2…

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Q: (a) Find an equation of the curve that has slope (xy²- x2) dx + (3x²y² + x²y - 2x3 + y?) dy = 0 %3D…

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Q: f(z) = 4 compute the instantaneous slope at: (7, ) Start with two points A : (7, ) and B: (7+h, ?)…

A: The coordinates of B are general representations of points on the curve. I.e B:(x,f(x)). Hence for…

Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

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Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: A detailed solution is given below

Q: Given that x² + y? = (2x² + 2y² – x²)? Find an equation of tangent line to the curve at point (0,…

A: The formula to differentiate the product of two functions, f(x) and g(x) with a common variable is…

Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: find an equation for the line tangent to the curve atthe point defined by the given value of t.…

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Q: A) Find an equation of the line tangent to the function of x? + (y - x)? = 9 atx = 1.

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Q: Find an equation of the line tangent to the curve at the point corresponding to the given value of…

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Q: What is the slope of the tangent line that touches the graph of In y + e2¤¬1 = 3y – 4x at the point…

A: Given query is to find the slope of the tangent.

Q: Assuming that the equation below defines y as a differentiable function of x, find the value of dy /…

A: The equation is 2x2+xy+y2-22=0 Differentiate this equation with respect to x…

Q: Ql: Find an equation for the tangent to the curve at the given point. 1.y=2V (1,2)

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Q: termine the equation of the tangent line to the curve y=Vx at the point (1, A) x-4y+3=0 в) х+4у-3-0…

A: we have to find equation of tangent

Q: 5x- Find the equation of tangent to the graph of f(x) = at the point where the curve intersects the…

A: We find equation of tangent using application of derivatives

Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: p) Find the equation of the line tangent to the curve x² + y² = 25 at (3,4) %3D

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Q: nd an equation of the tangent to the curve f(x) = /x+ 8 that has slope %D 4 А. 1 y = X. В. 1 y 7x+3…

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