An equation containing an unknown function and its derivatives

Q: Let f(x) = 1/(x-5). Find the derivative f' of f. Find an equation of the tangent line to the curve…

A: This questions is related to differentiation,  We will solve it using given information.

Q: Find the first derivative of: y=-3/√2+x

A: Given : y=-32+x To find the first derivative of the given function.

Q: 13. Find an equation of the tangent line to the curve at the given point (use the definition of…

A: The equation of the curve is given by y = 2x2+1 The point at which the tangent line of the curve…

Q: Example 1: If the value of the function f(x) and all its derivatives are known at the point x, find…

A: If the value of the function fx and all its derivatives are known at the point x, to find the value…

Q: In the given equation/s, use a computer algebra system to find the derivative of the function. Then…

A: Definition used -              The behavior of the function at critical points -               If…

Q: Find an equation for the tangent line to the graph of the given function at (- 2,6) f(x) = x? +2…

A: Given function is as below: f(x)=x2+2

Q: Find the full derivative when the value of the following function changes from point P to point Q

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Q: Use a computer algebra system to find the derivative of the function. Then use the utility to graph…

A: Given, y=x+1x2+1 Formula ddxuv=vdudx−udvdxv2 quotient rule of differentiation

Q: Determine the derivative of the following implicit functions Show your complete and detailed…

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Q: Find equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: 2 y-(1-2x) y = 1 – 2x° У y"

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Q: find the derivatives of the following functions with respect to x and simplify the result.

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Q: In the financial world, there are many types of complex instruments called derivatives that derive…

A: Find the probability that the loss is at least $1000 (Price fall is below 90): Denote the change in…

Q: Discuss two applications of derivatives to something other than tangent lines and velocities

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Q: Example 2: Use the definition to find the derivative of the function Solution:

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Q: give the derivatives examples with solution 2 examples of difference rule

A: Difference rule: ddxf-g=dfdx-dgdx

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given that, y=4x+12         ...(1)

Q: Find the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find an equation of the line tangent to the graph of f(x) = - 2x³ at (– 1,2). The equation of the…

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Q: give the derivatives problem examples with solution 3 problem examples of product rule

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Q: Find an equation of the tangent line to the graph of the function at the given point. 3x + 5 f(x)…

A: topic - equation of tangent line

Q: Find an equation of the tangent line at the given point.  f(x)=3/x2  , at x= -1

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Q: Consider the given function and point. f(x) = -7x* + 9x² - 2, (1, 0) (a) Find an equation of the…

A: given function is f(x) = -7x4 + 9x2 - 2 we need to find equation of tangent at (1,0) For a given…

Q: 6) find the 2nd derivative and the graph Y’= 12-x-x^2

A: y'=12-x-x^2 Differentiate with respect to x, we get y"=-2x-1 Graph using desmos,  1) Graph of -2x-1…

Q: In this calculus question, Find the equation of the tangent line and normal line to the graph of the…

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Q: The concavity of a function is described by its first derivative expression second derivative third…

A: A function's behavior like whether the function is increasing or decreasing, whether the function is…

Q: Consider the following function and point. f(x) = f'(x) = (a) Find the derivative of the function.…

A: We need to fill in the blanks.

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given: The function y=(3x + 1)2 and the point (0, 1).

Q: (:) 1 Find the equation of the tangent line to the curve f(x) : at the point x+1 Write equation in…

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Q: 5. Une differentiation rules to find the derivatives and simplify: 5.1 y - +1

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Q: The first derivative of a function is y1=x^2-x-6. Use this derivative and the second derivative of…

A: Consider the given derivative and equate it to zero to determine the critical points for function y.…

Q: ne following tion. F(x) = V (x – 3)² e a sign diagram for the first derivative. Select-- v…

A: we have,  f(x)=(x-3)23

Q: a. Find the slope of the tangent line to the graph of f(x) = x +4 at the point (- 1,5). b. Find the…

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Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = (x- 1)°(x+ 3)² at the point (2,25). The…

A: Firstly ,find the derivativw of y and then put the value of x coordinate of point to find the slope…

Q: Write an equation (second degree) satisfied by two functions f and g having the same derivative.…

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Given,           The function is y=5x+12 and the point is 0,1.

Q: Find the equation of the tangent line to the graph of the function f(x)=(x^2+9)(x-3) at the point…

A: Given : f(x) =(x2+9) (x-3)

Q: The graphs of four derivatives are given below. Match the graph of each function in (a)-(d) with the…

A: The derivative of the function at a point is the slope of the tangent line on that point. Thus the…

Q: Find the first and second derivatives of the function. f(x) = x/8x+5       f ''(x)  =

A: fx = x8x + 5f'x = ddxx × 8x + 5 - ddx8x + 5 ×x8x + 52Used quotient rule ddxf(x)g(x) = g(x)×dfx -…

Q: derivatives in Column B. 1. f(x) = 4 A. f'(x) = 8x 2. f(x) = 4x В. f'(x) = -4x-2 3. f(x) = 4x² С.…

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Q: Find the slope of the graph of the function at the given point. Use the derivative feature of a…

A: Consider the provided function,

Q: Consider the following function and point. x + 4 (5,9) X-4 (a) Find the derivative of the function.…

A: The given function is fx=x+4x-4, 5,9

Q: Find the first derivative of the given algebraic functions. Simplify whenever possible

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Q: calculate the derivatives of the functions. Then find the values of the derivatives as specified. 1.…

A: Given function fx=4-x2 To find the derivative , the derivative given below is used f'xn=nxn-1 So the…

Q: derivatives as functions of

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