Suppose f is continuous everywhere, f’ is differentiable everywhere except at x = -1, and the graph of y = f’(x) is in the photo attached. What is the slope of the normal line of f at x = 4? Provide a brief justification for your answer.

Q: A function has a tangential gradient of 2sin3x. If the curve cuts the x-axis at, determine the…

A: A function has a tangential gradient  of 2 sin 3x.If the curve cuts the  x-axis at π3.To determine…

Q: Find the equation(s) of any normals to the 1 curve y=x+= at points where the tangent X is parallel…

A: As per Bartleby guidelines, we can answer only first question, if the multiple questions are posted.…

Q: The tangent line to  y=ex where x=0 has slope of 1 True or false

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Q: How large should n be to guarantee that the Trapezoidal Rule approximation to -1 √(-2¹ - 122³ - 30x²…

A: Since you have uploaded multiple questions, according to our guidelines we have solved first…

Q: - Use the definition of derivative to find the tangent and normal equations of f(x) = (x - 3)2 %3D…

A: We can find the tangent equation and normal equation as below.

Q: Where is the function defined by ƒ(x) = ex increasing?Decreasing? Where is the tangent line…

A: Where is the function defined by ƒ(x) = ex increasing? Decreasing? Where is the tangent line…

Q: suppose cX) is valued function on such that f?E R Faib] Does it fallows bounded real taib] that…

A: In the given question given that f(x) is a bounded real valued function on [a,b] then we have to…

Q: b) Find the equation of the normal line to the curve y = 1 – x³ at x = -1. Sketch the graph.

A: given:  y=1-x3           1 Differentiating (1) wrt x dydx=-3x2 At x=-1, dydx=-3 Also, At x=-1, from…

Q: What is the equation of the line normal to f(x) = 5x5 – 2x at x = -1 %3D

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Q: Use the table to determine D,f(g(x))) at x= 3. 3 4 f(x) 1 f(x) 3 -5 8(x) 2 g'(x) |1 4 3 2 4 1 3 6 -5…

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Q: Find all the x- values where Whe tangent lines are horizontal (ie, all the x's uhere fi6s)=0

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Q: - Find the derivative of f (t) = (5t³ — 4t² + 1) 49 f' (t) =

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Q: Suppose that you have $11,000 in a rather risky investment recommended by your financial advisor.…

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Q: True or False The slope of the tangent line to the graph of f at (c, f(c) ) is the derivative of f…

A: The slope of the tangent line to the graph of f at c, fc is the derivative of f at c.

Q: Find the local extrema of following equation with the second derivative test. y = 3x³ + 2 x³

A: Given: y=3x3+15x5 To Find: The local extrema of the given function using second derivative test.

Q: Locate the point where the slope of tangent line to y=In 2x² IS –1- O (-1, In 2) O (-2, In 8) 9. In…

A: Given  y=log(2x2)Slope =dydxdydx=4x2x2=12x

Q: Please see the attached image and answer the

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Q: Estimate the slope of the tangent to the following function at x = 4. = 2log (x − 3) +3 -

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Q: У 3 хVx - 1 , (5, 10)

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Q: The graphs of a function f and its derivative f' are shown. Which is bigger f (-1) of f'(1)? See…

A: Given : The graph of f (x) and f ' (x) .   To determine :   Which is bigger : f (-1) and f ' (1) .

Q: graph

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