The slope of the tangent line to the graph of f(x)%3D at a =-1 is: x2 - Select one: 1. a. O b. O c.0

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

A: Given equation is Differentiating both sides with respect to x, we get.

Q: If the slope of the tangent line to the graph of y%3f(x) at x-Da is m(a)%=D2a+1, and f(1)=5, then…

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: The slope of the tangent line to the graph of the function y = 2/x – 6 at (36, 6) is 6 -0.50 0.17…

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Q: For what value of x does the graph of y = eš (4x – 5)° have a horizontal tangent line? -

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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: D At f(x)= x²+x -6, At which values of x does he graph of f(x) have a horizontal tangent line

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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,…

Q: find the slope of the line tangent to the graph of f at P.

A: Given,

Q: Find the slope of the tangent line to the graph of the function at the given point.    h(t) = t2 +…

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Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

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Q: Compute f ' (x) and find an equation of the tangent line to the graph at x = a. f(x) = 3√x,  a= 8

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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Q: Find the slope of the tangent line to the graph of the function at the given point.

A: The slope(m) of the tangent line to the curve is nothing but the derivative of the function at the…

Q: Find the slope of the tangent to the graph of fAx) = x + 3x + x at its point of inflection. O a) -3…

A: SOLUTION-

Q: For the functiony =x2 + 3x + 9at(3, 1),find the following. (Give exact answers. Do not round.)(a)…

A: Given function y = x2+3x+9.The slope of the tangent line at a point(x,y)  is nothing but the value…

Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: Find the equation of the tangent line to the graph of f(x) = Vr+ 81 at the point (0, 9). Answer y =

A: Solution:step 1: given f(x) =x+81at point (0,9)now, point 0,9 ⇒ x1=0…

Q: At what point on the graph of f(x) = 3x² +x is the tangent parallel to the line with equation y = 4x…

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Q: Compute f'(x) and find an equation of the tangent line to the graph at x = a. f (x) = 5x − 32√x, a =…

A: For a function f(x), f'(x) denotes its first derivative. Value of first derivative at a point gives…

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…

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Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

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Q: Given that f(10)=10 and f′(10)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: topic - equation of a tangent line

Q: If y=mx+b is the equation of the tangent line to the graph of f(x)= x² - x at x= -1, then m=

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Q: "The slope of any tangent to the function f (x) = bª is negative."

A: First we have to find equation of the derivative of the given function.

Q: If the slope of the tangent line to the graph of y-f(x) at x-a is m(a)=20+1, and f(1)-5, then what…

A: We have to find function

Q: Find the point on the graph of h(x) with the largest slope, that is, the (a) point where the tangent…

A: Given function is         h(x) = -3x5-5x4+20x3+60x To find the largest slope of h(x) at the tangent…

Q: Find the point on the graph of f(x)=ex for which the tangent line to the graph there passes through…

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Q: find any x-values where the tangent to the curve is horizontal, where y=x^3-6x^2+9x+1

A: The given equation of curve is,

Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

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Q: y = 3x?+1 ; (0,1)

A: Solution ) slope of the tangent line by the limit definition = m = (dy/dx) [ x = 0 becuase we have (…

Q: Consider the function y = x² In(x³). At which point the tangent line to the graph of this function…

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

A: We have to find the equation of tangent line

Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: Find the equation of the tangent line to the function f(x) = 2x? – x at the point where x form y =…

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Q: Find an equation of the tangent line to the graph of the function                    y = esinh x, at…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

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Q: Find the slope of the tangent line to the given curve at t=-2. Sx=r-1 y=²-28t The slope is

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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: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your…

A: see below the answer and explanation

Q: Find the point on the graph of f(x)=ex for which tangent line to the graph there passes through the…

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Q: a) What is the slope of the tangent line to the graph of f at x= n ?

A: Given, fx = 4cos2x -2esin3x  We have to to find the slope of the tangent line to the graph of f at x…

Q: Let f(x) = 2x* + 3x° + 10. Find the equation of the line tangent line to the graph of Y point (1,…

A: Given  f(x) = 2X⁴ +3X³ +10 We need to find the equation of tangent of f(x) at the point (1,15)

Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at…

A: Topic = Functions

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.

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.

Q: For what value(s) of x is the line tangent to the curve y = xV6 - x horizontal? Vertical?

A: Given curve is: y=x6-x Differentiating with respect to x we get,…