Find all the values of x where the tangent line is horizontal. f(x) = 2x° + 36x? + 192x + 12

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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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: 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: 3. Find the equation of the tangent line to the graph of x²y? + 9xy = 162 at the point (-3, 6).

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Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find the exact value of the slope of the tangent line to the graph of 2 – x? – a² + 3xy – 3y = 1 at…

A: Slope of the tangent line , m=dydx du.vdx = u.dvdx +dudx.v dxndx=n.xn-1

Q: b. If B(x) = /g(x), what is the equation of the tangent line drawn to B(x) when x = 1? %3D

A: b) if B(x)=g(x)we have to find the equation of tangent line drawn to B(x) when x=1   differentiate…

Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: If f(x) = 9x2 – x³, find f'(2) and use it to find an equation of the tangent line to the curve y =…

A: Equation of line : y-y1 = mx-x1 where x1,y1 is the point and 'm' is the slope of the line.

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

A: Find a.) the slope of the curve at the given point P We have given the curve y=x2 – 5 and a point…

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

A: fx=x2+18x+96 Differentiating with respect to x, we get f'x=ddxx2+18x+96=12x2+18x+96·dx2+18x+96dx…

Q: If f(x) = 3x 2 − 5x, find f' (2) and use it to find an equation of the tangent line to the curve y =…

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Q: If f(x) = 8x - x³, find f'(1) and use it to find an equation of the tangent line to the curve y = 8x…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

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Q: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: If f(x) = 9x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y =…

A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

Q: Find the values of X where the tangent line is horizontal. +(x)=x"-4x?-8x+9 2.

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Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: If f(x) = 9x2 - x°, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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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: Given, y=7-x,   P(-2,3) now find slope of this equation dydx=-127-xat P(-2,3) dydx=-12×3=-16 so…

Q: Find the equation of the tangent line to the graph of y =f(x) at the point where x=-3 if f(-3) = 2…

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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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.…

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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.…

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Q: Find all values of x such that the tangent line to the graph of y = 5x² – 16x + 5 is steeper than…

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Q: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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Q: find (a) the slopeof the curve at the given point P, and (b) an equation of the tangentline at P. y…

A: Giveny=x3−3x2+4,P2,0

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: If  F(x) = 12x/(3 + x2),  find F '(3) and use it to find an equation of the tangent line to the…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

A: Given that       the equation is 3(x2 + y2)2 = 100(x2 - y2) The point is (x1, y1) = (4, 2) We have…

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

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Q: Find an equation of the tangent line to the function y 3x2 at the point P(1, 3). = Soluti

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Q: If g(x) = 5 – x³, find g'(0) and use it to find an equation of the tangent line to the curve y = 5 –…

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

Q: Find the equations of the tangent lines to the graph of x2(x2 +y?) = y2 when x =

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Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

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Q: Find an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: Find all values of x (if any) where the tangent line to the graph of the given equation is…

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Q: Find an equation of the tangent line to the graph at the given point.

A: Find an equation of the tangent line to the graph at the given point.

Q: Find all values of x such that the tangent line to the graph of y 5x2 - 9x + 8 is steeper than the…

A: To determine all the values of x where the slope of the first curve is greater than the slope of the…

Q: If f(x) = 9x2 − x3, find f '(2) and use it to find an equation of the tangent line to the curve y =…

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Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y?)² = 100(x² – y²),…

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Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

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Q: Find the slope and equation of the tangent line 1. f(x)= -3+2x+x2                    (3,12)

A: f(x)=-3+2x+x2,(3,12)