The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes of the tangent lines increase?

Q: Find the slope of the tangent line to the graph of y = √x − 1 at the point (5,2).

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Q: Find an equation of the tangent line to the graph of f (x) = 1/√x at x = 9.

A: The equation of the graph is given as, fx=1x We need to find the equation of the tangent to the…

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: Find the slope of the tangent line of f(x)=10x2-3 at x=-2.

A: Given f(x)=10x2-3and x=-2

Q: Find the slope of the tangent line to the graph of y = x2 at the point where x = - 1/4.

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Q: What is the slope of the line tangent to the graph of y= tan(2x) at x= -1? The slope of the tangent…

A: we have to find the slope of above equation at x=-1

Q: x-1 f(x) = x= 1 at (2₁²) x+1

A: The objective of the question is determine the slope of the line tangent.

Q: Find the slope of the tangent line to the graph of the functiony=f(x)=−6.5x^2 at point x=7

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

A: According to power rule of differentiation, .

Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = xsin(x),…

A: We tale ln on both sides then differentiate both sides with respect to x

Q: Find the equation of the tangent to the graph of f(x) = x-3 at the point (5, 4). Start by evaluating…

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Q: use 4 step process to find the slope of the tangent line to the graph of the given funcion at any…

A: Given,           F(x) =x2 + 6x

Q: Can you please help me out

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Q: What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

Q: What is the slope of the tangent line to the graph of f(x) =x² - 6x +2 at the point (3, -7)?

A: Given- fx=x2-6x+2 To Find- The slope of the tangent line at the point 3,-7.

Q: Find an equation of the tangent line to the graph of f at the given point. ru) - -17) x + 8 f(x) x -…

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Q: Describe the slope of the tangent line to the graph of f(x) = e* for the following. (a) x-- (b) x-0

A: The slope of a line is the tangent of the angle that the line makes with the x-axis. The slope of…

Q: Suppose that the second derivative of the function y = f(x) is y" = x*(x = 2)°(x + 3). For what…

A: Given: The second derivative of the function y=f(x) is y"=x2(x-2)3(x+3) Definition: The inflection…

Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: 6. What is the slope of the tangent line to the inflection point of the curve y = x3 – 4x2 - 3x – 6?

A: Since you have posted multiple questions i can do first question as per our company guidelines…

Q: The slope of the tangent line to the graph of f(x) = at a = 1 is: ¤ + x

A: Given:f(x) = xx + x

Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: What is the slope of the tangent line to the graph of y x*-3x +x +2 at x-2? What is the y-coordinate…

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Q: Find the points on the graph of y = ex where the tangent line has slope 4.

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Q: Please find the slope of the tangent line to the graph of f(x) at x = 1

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Q: Find the slope of the tangent line to the graph of f(x) = x2 + x at (2, 6).

A: Given :fx = x2+x

Q: By using the definition of the derivative, find the equation of the tangent line to the graph of…

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Q: 4 at the point ( 3, The slope of the tangent line to the curve y is:

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Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

Q: f'(x) at x if f(x) = csc³(x).

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 – x² –…

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Q: Find the equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: Find the equation of the curve at every point in which the tangent line has a slope of z2, which…

A: Given slope of the tangent line has a slope of x2. To find equation of curve having slope of tangent…

Q: Find the slope of the tangent to the curve f(x) = at the point where x = 4

A: Given that: f(x)=5x

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

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Q: What is the slope of the tangent line to the graph of y = x^2 + 1 at the point (0, 1)?

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Q: The slope of the line tangent to the graph of position as a function of time at t = to

A: The slope of the line tangent is in the form of a difference quotient approach t=t0 is, m=ft-ft0t-t0

Q: Determine the point on the curve where the slope of tangent line to the curve is 0 or -3 a) f(x)=…

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Q: Find the slope of the tangent line to the curve y=4x^3-x at x=1. What is the equation of the line…

A: Given: The equation of a curve is y=4x3-x . The slope of the tangent to the curve at the point x=1…

Q: Estimate the slope of the tangent line at the point indicated. f(x) = lnx; x = 3

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

Q: Find the equation of the line tangent to the graph of f(x) = (In x)* at x=7.

A: Slope is evaluated by differentiating f(x) wrt x at x=7 . Also f(7) is evaluated. Write equation of…

Q: What is the slope of the line tangent to the graph of y = tan (3x) at x = 1? The slope of the…

A: The given equation is y=tan-13x at x=1. The objective of the question is determine the slope of the…

Q: What is the equation of the tangent line to the curve defined by the given function at the point…

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Q: What is the slope of the line tangent to the graph of h(x)=sqrt(x) at x=3?

A: I have given the formula for finding a slope of tangent line below the proof  And it is used in this…