point(s) on the graph of f where the tangent f(x) = %3D x² + 25 x-value (x, y) %3D

Q: Anti-derivative of this function:  h(θ) = 4 csc θ cot θ + 2 sec2 θ

A: Indefinite Integration

Q: Use the graph to estimate the slope of the tangent line to y = x" at the given point. Verify your…

A: We have to tell the slope of the tangents through the graphs. So, for that, we will differentiate…

Q: Find the equation of the line tangent to y = 2sin x at x = p>2. Graph the function and the…

A: Given: Function y = 2sinx To Find: The equation of the tangent line at x = p  Concept Used: The…

Q: Find an equation of the tangent line to the graph of f at the point (2, f(2)). f(x) 4(5x – 1)4 y =…

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Q: didfferential equation of tangents to x¯ = 4y

A: Solution is given as below:

Q: Finel the first, second-order derivative (f'(x!) and! find the slope at the given point X * fx) =…

A: Given : f(x)=sin(2x)-tan(2x) Take first derivative, apply chain rule f'(x)=cos2x· 2-sec22x·…

Q: Estimate the slope of the tangent line of the function y(t) = v4t + 1 at the point t = 1. (Use…

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Q: Find relative extrema of the function. Use the second derivative test when applicable. (If an answer…

A: Solution:-

Q: Let f(x) = 3x² - 2x. (a) Use the definition of derivative and the procedure given in this section to…

A: Given that: f(x)=3x2-2x

Q: (8) Find the derivative of the functions (iv)f(x) = e* arcsin x arcsin 3x (v)h(x) = x' arctan 2.x…

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Q: = x-location(s) of any horizontal tangents to the graph of f(x)= %3D

A: x=-12

Q: 10. Describe a process for finding the slope of the line tangent to the graph of f at (a, f(a)).

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Q: Implicit differentiation Find dy/dx when F(x, y) = sin xy + πy2 - x = 0.

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Q: Uncover the function f shown that the slope of the tangent line to the chart of f at any point (x,…

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Q: Linearization based at a uses a tangent line to a curve at x=a to estimate the y-values of a…

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Q: ) Let f(-4) = 3 and f'(-4) = 6. Then the equation of the tangent line to the graph of y = f(x) at x…

A: Given:

Q: 3e* at the point Estimate the slope of the tangent line of the function f(x) x=e (Use decimal…

A: Firstly, we find derivative of f(x) by using the result that derivative of e^x with respect to x  is…

Q: The tangent line to the curve x'+y° -9xy=0 at the point (2,4) intersects the y-axis at y =. Write…

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Q: 53. What is the largest value possible for the slope of the curve y = sin (x/2)?

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Q: Find all points (x, y) on the graph of f(x) = x? with tangent lines passing through the point (3,…

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Q: 9, etermine whether the equation y%D - x defines y as a function of x.

A: Yes, because for any input x, the equation yields only one output y.

Q: 4. arctan (x + y) = y² , (1, 0)

A: tangent and normal line

Q: true or false?  Continuous functions have a tangent line at all points.

A:

Q: Find equations for the lines that are tangent and normal to the graph of

A: Given equation of the function is: fx=tan xx Differentiating with respect to x we get, f'x=x…

Q: How many tangent lines to the curve y= x /(x+1) passthrough the point ( 1,2) ? At which points do…

A: Given : y=xx+1  pass through the point (1, 2) To find: The number of tangent lines to the curve  y =…

Q: 1 Find the equation of the tangent line to f- at the point P(,,-1) for f(x) = %3D 3x2 - 1 Provide…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x)=−2sin x…

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Q: The tangent to the graph of f(x) = 1/x^2 at point (2, 1/4) form a triangle. Find the area of the…

A: Given query is to find the area of the triangle formed by tangent.

Q: Richa< decline under question out of Scope> Find the equation of the tangent line to…

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Q: The graph of a tangent function y = tan (x) is looks like this: y=tan(x] 3 2n-3/2 -/2 a/2 3/2 An -2…

A: To solve the following problem

Q: Determine the sign of the second derivative function as x varies. Where is f' positive? Where is…

A: As per the guidelines we can solve 3 questions only.

Q: Apply the product rule to find the tangent line, in slope-intercept form, of y = f(x) at x= 5. f(x)…

A: Given f(x)=3x2-7x-1 Here we apply the product rule to find the tangent line, in slope intercept form…

Q: 3. Use the implicit differentiation to find the equation of the tangent line to the curve x*y+ e =…

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Q: Find the critical points of the function. Then use the Second Derivative Test to classify the nature…

A: Critical points and classification

Q: Sketch the graph and show all local extrema and inflection points. y =x - sin x, 0 <x<2n

A: This is the graph on the interval [0,2π]: To find the local extreme, take the derivative and find…

Q: State De-Moivre's theorem. Compute n" derivative of the function y th x² +a?

A: As per our guidelines, we are supposed to solve only first question. Kindly repost other question as…

Q: (c) Find the slope of the tangent to the graph of y = f(x) at x = -1. (d) Find the point on the…

A: Slope of tangent = dy/dx

Q: Diffrentiate y(x) along the curve given by x^y = e^x .

A: given curve is xy=ex Apply logarithm on both sides

Q: Find the point of inflection of the graph of the function. f(x)=sin x/2, [0,4pi] Describe the…

A: Solution

Q: 4. Differentiate the function Y = (tan x)*

A: We have to find the derivative of (tanx)^x

Q: 13. BONUS: Find the coordinates of all points on the graph of y=1-x at which the tangent line passes…

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Q: The straight line y=x +B is tangent to the graph of f(x) = 2^{x at the point where x = A. Find A and…

A: The staright line y=13x+B is tangent to the graph of f(x)=2x at the point where x = A, we have to…

Q: 5. Carefully explain why 2 arcsin(x)+2 arccos(x) : Hint: How can we tell a function is constant from…

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Q: 11

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Q: II sinx Find the slope of the tangent line to the graph of f(x)=: at x=- %3D cos x

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Q: f(x) = tan(x),   (-3π/4, 1) Find an equation of the tangent line to the graph of f at the given…

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Q: cosx Find the equation of the tangent to the curve y=- at x= 2x 2

A: