For what point on the curve of y = 9x - 2x is the slope of a tangent line equal to - 38? The point at which the slope of a tangent line is - 38 is (Type an ordered pair.)

Q: At what points on the graph of ƒ(x) = x3 + 12x2 + 55x + 14 is the slope of the tangent line 7?

A: We have given function fx=x3+12x2+55x+14 Slope of function at any point given by derivative of…

Q: [3] If the curve is defined by y = x* – 8x3 + 22x2-24x+9, then what are the value/s of x for which…

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Q: -1 What is the slope of the line tangent to the graph of y at x = -2?

A: Find the derivative of y to obtain the tangent as shown below: y'=ddxtan-1xy'=1x2+1

Q: Find the points on the graph of y = x2 + 3x − 7 at which the slope of the tangent line is equal to…

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Q: At what points does the equation of the line tangent to the curve y=1/x have a slope equal to −1?

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Q: For what value of x does the tangent line to the curve y=7+3e^x−6x  is parallel to the line 8x−8y=9?

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Q: 1. What is the slope of the tangent line to the curve f(x) = 5a2 - e* - e, at a = -1? (A) –10 e (B)…

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Q: For what values of a and b is the line – 3x + y = b tangent to the curve y = ax³ when x = 5? a = =

A: Given: Equation of curve is, y=ax3 The line tangent to the curve is, -3x+y=b at x=5. The objective…

Q: What is the slope of the tangent line of y = 3x- 2x2 + 2x -5 at x = 0? A. 2 B. -5 C. D.

A: Given equation of the curve is y=3x3-2x2+2x-5   x=0 find slope of the tangent

Q: What is the slope of the tangent line that touches the graph of In(y) + e2* -'=3y – 4x at the point…

A: Given that:  lny + e2x-1 = 3y-4x We find slope of the tangent line at point (1/2,1) . Here i…

Q: At what points on the graph of ƒ(x) = 2x3 - 9x2 - 12x + 5 is the slope of the tangent line 12?

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Q: At what points on the graph of ƒ(x) = 6x2 + 4x - 9 is the slope of the tangent line -2?

A: Given: f(x)=6x2+4x-9  Now we find the slope  Therefore, differentiate with respect to x we get,…

Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Slope = dy/dx

Q: 4. At what point on the graph of y = ÷x² is the tangent line parallel to the line 2x – 4y = 3? A.…

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y – 3)² = 37, (-1,…

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Q: Find the equation of the tangent line to the graph of f(x) = at - 5, - The equation of the tangent…

A: Given:f(x)=2x & point (-5, -25)To determine:Equation of tangent line to the graph of given…

Q: Find an equation for the tangent to the curve at the given point. y=x2-x. (-3,12)

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Q: At what points on the graph of ƒ(x) = x3 + 6x2 + 17x + 15 is the slope of the tangent line 5?

A: Given: fx=x3+6x2+17x+15 To Find: The points at which the slope of the tangent line is 5.

Q: The equation of the tangent line to the curve 교+f -25, at (8,-12) is

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Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Determine the equation of the curve for which the tangent line at every point has a slope of 25, x =…

A: Topic = Coordinate geometry Correct option = D

Q: 7. Find the slope of the tangent line of the graph of 2ry+ y? = 3.x² – 4 at the point (-1, 1).

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Q: 1 Find the two points on the curve y=- at which the tangents have as slope of -.

A: Given,            The curve y=1x at which the tangents have as slope of -12.To find : The two points…

Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

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Q: For what point on the curve of y = 3x - 6x is the slope of a tangent line equal to 0? %3D

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Q: Given the curve y= x^3 - 4x +1 . Find the equation of the tangent at the points where the slope of…

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Q: Find an equation of the curve whose tangent line has a slope ofƒ′(x) = x2/3,given that the point (1,…

A: Given: f'x=dydx=x23 For finding equation of curve, we will use variable separable method So,…

Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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Q: Are there any points on the curve y = x - e^-x where the slope is 2? If so, find them.

A: To determine the point where the slope of the function is 2.

Q: at the indicated point, find the slope of the tangent to the curve c(x) = 3x^2 - 5 at (3, 22)

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Q: Show At what points does the equation of the line tangent to the curve y=1/x+3 have a slope equal to…

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Q: The line y=3x+6 is tangent to the graph of y = (-48)/(x-6) at the point ?

A: The given equation of tangent is y=3x+6 and its tangent to graph of y=-48x-6. To find the points at…

Q: For what point on the curve of y = 5x + 6x is the slope of a tangent line equal to - 44? %3! The…

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Q: For what point on the curve of y = 7x + 4x is the slope of a tangent line equal to - 66? The point…

A: y = 7x2  +  4x     ..........................................(1) slope of tangent line = -66 slope…

Q: If f'(4)= 6 and g'(4)=3, then the slope of the tangent line to the graph of y=2f(x)-5g(x) at x=4 is…

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Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: For the curve whose equation is given by x2 - 3xy + y2 - 4x + 2y +1 = 0, find the slope of the…

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Q: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

Q: If y=mx+b is the equation of the tangent line the curve y=x2-3x+5 , which is parallel to the secant…

A: Proceed as shown

Q: What is the slope of the tangent line to the graph of y = x3 – 4x + 2 at point (2, 2)? %3D А. 1 В. 4…

A: Given function, y=x3-4x+2Diferentiate w.r.t.…

Q: At what point (s) is the tangent line to the curve y²=2x³ perpendicular to the line 4x-3y+1=0

A: Given y2=2x3⇒ y=2x3

Q: Find the two points where the curve x2 + xy + y2 = 7 crosses the x-axis, and show that the tangent…

A: To find the x-intercept we plug y=0

Q: At the two points where the curve x2 - xy + y2 = 36 crosses the x-axis, the tangents to the curve…

A: x2-xy+y2=36

Q: At what point on the graph of y = (x^2)/2 is the tangent line parallel to the line 2x - 4y = 3? O…

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Q: For what values of x is the tangent line of the graph of f(x)= 2x3-12x2+2x+18 parallel to the line…

A: The tangent line of the graph of f(x)= 2x3-12x2+2x+18 is parallel to the line y=2x+.4 So, slope of…

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 (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: To find: The slope of the curve and equation of tangent line at point P of the below curves. Given,

Q: Find an equation of the tangent line to the graph of y = B(x) at x = 24 if B(24) = 0 and B'(24) = -…

A: Given,         y=Bx at x=24 if B24=0 and B'24=-14.