Find the tangent line of the function f(x) =16/x− 4√x at x = 4, and the point at which the tangent line and the x-axis meets.

Q: Find all points on the graph of f(x) = x +a where the tangent line is parallel to the line y = 28x.…

A: Consider the function f(x) = x3 + x Slope of the tangent to f(x) is the derivative of f(x). f'(x) =…

Q: Find the two possible values of a so that the tangent lines to f(x) = x3+2x2 and to g(x) = 8x-3x2 at…

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Q: Given f(x) (x – 4)(-5x – 3), find the (x, y)-coordinate on the graph where the tangent line is…

A: For coordinate of horizontal tangent line  Differentiation of given function Finding critical point…

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find the equation of the tangent line to the function f(x)=2x^3+3x^2+4x+2 at the point where x=−1

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Q: Find the equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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Q: ) Find the equation of the tangent line to f(x)= (36+2x2)-1/2 at x=0  y= (b) Use your answer to…

A: We use the fact that f(X) is approximately equals to f(a)+ f'(a)(x-a), which is tangent to line to…

Q: Find all the value(s) of x at which f(x)=(7x^3/3)+3x^2−x+9 has a horizontal tangent line.

A: The values of x at which the given function has a horizontal tangent line can be found by evaluating…

Q: given the function f(x) = x² – 3x + 1. Use this function to find The equation of the tangent line to…

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Q: Find all value of x=c, so that the tangent line to the graph of f(x) at (c,f(c)) will be horizontal…

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Q: 2x+4 f(x) = (3x + 7) e.

A: Given query is to find the derivative of f(x).

Q: For what values of x is the tangent line of the graph of f(x) = 2x – 6x² – 48x + 18 %3D parallel to…

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Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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Q: 4. Find the equation of the tangent to f (x) = 4x² + 12x, at x = -3. Use first principles.

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Q: For what values of x is the tangent line of the graph of f(x)=2x^3+9x^2+14x−12 parallel to the line…

A: Remarks; slope of two parallel line are same

Q: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ____

A: The detailed solution is given below Thank you

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: For what values of x is the tangent line of the graph of f(x) = 6x + 18x² - 143x+ 18 rallel to the…

A: Explanation and solutions is given below....

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 16 e*+…

A: Given function is fx=16ex+13x. At x=0, f0=16·e0+13·0=16 Therefore, point is 0,16 Differentiating the…

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

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Q: The slope of the tangent line for the function f(x) = x^4 – 3x^3 + x^2 – 2x + 8 at x = 1 is

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Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

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Q: For the function f(x) = 10x² + 10x – 1, find the equation of the tangent line at x = 2.

A: Given function     f(x) = 10x2 + 10x - 1 at x = 2,     f(2) = 10(2)2 + 10(2)  - 1 = 59

Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

Q: Find all values of x for which the tangent line of f(x) = V x2 + 18x + 96 is horizontal.

A: Given that, the tangent line horizontal. That is it is parallel to x axis. The equation of the…

Q: Find the equation of the tangent f (x) 4x – 8/x at æ = 16.

A: Given, equation of curve is fx=4x-8x. To find the equation of tangent line at x=16 find the point of…

Q: For what values of x is the tangent line of the graph of f(x) : 10x + 45x? – 122x parallel to the…

A: Take the derivative of f(x) and equate to the slope of the given equation of line.

Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

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

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

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Q: 1. For the function f(x) = 3x² + 8x – 7, (a) Find the slope of f(x) at x = 3 (b) Find equation of…

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Q: For what values of x is the tangent line of the graph of f(x) = 6x^3 + 9x^2 −218x   parallel to the…

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

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Q: Find the derivative of the function at P, in the direction of A. 2 f(x.y) = 4xy- 4y, Po(6,8), A= –…

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Q: Find f'(a) using the definition of the derivative at a point for f(x) = 1 VI at a = 7.

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Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

Q: Consider the function y = f (x) = x² + 17x + 72 and the x-value xo = 2 (a) Find a formula for the…

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Q: Find the equation of the tangent line to f(x) = (36 + 4x²)¯ at x = Use your answer to (a) to…

A: (a) Given,              f(x)=(36+4x2)-12       at  x=0.

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = (2x +…

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Q: For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at x = 8.

A: We have to find the equation of the tangent line of  f(x)=10x2-3x+5 at x=8.

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: 2. Given f (x) = x² – 2x + 5, find the tangent line at x = 7

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: Find the equation of the tangent line to the function f(x)=−x^2−3x+4 at the point where x=−3

A: The given function is: f(x)=-x2-3x+4

Q: Q1) Find the tangent y = vx2- x +7 at x = 2.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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