Solve for the inverse fonction of f(x)= domain and range of both. f and f . -1.

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: 1 16) f(x) = x2 - 1 %3D

A: First we simplify then apply chain rule of differentiation for the first derivative  Then apply…

Q: Express the function in the form   f ° g  ° h

A: We will use the most inner function=h(x), then next one=g(x), and the outer one=f(x)

Q: х-1 8. у%3Dlog. х+1

A: Given  y=logx-1x+1  =12logx-1x+1 The first derivative is  y'=121x-1x+1ddxx-1x+1…

Q: リ 「h (ex+Xe

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Q: Based on Degree two function: V x (V f) = ? О 1

A: Answer: None of these.

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x;…

A: Determine the derivative for f(x). fx=lnx5f'x=ddxlnx5=ddx5lnx5×ddxx5=1x5×5x4=5xSo, f'x=5x

Q: For the function y = f(x) 8 1+z² a. Find the slope of the line tangent to its inverse function at…

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Q: Find the domain and range of f(x)= (ex)/(1+ex)

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Q: 6 For the function y = f(x) = 5 + x2 a. Find the slope of the line tangent to its inverse function…

A: Given: It is given that the function is fx=65+x2. To find: The main aim is to find the slope of the…

Q: +e Differentiate y = eX - e -x

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: First, simplify the given expression:

Q: 34 - What is the value of the first derivative of the function at x = 2? A) 2 B) 1 C) -2/3…

A: Given y=ln[(x+1)/(x-1)] To find the first derivative at x=2

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

Q: (a) f(x) = 2x7 – 3x4 – 41x? – 73 (b) f(x) = x cos x

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Q: lve, using the method of variation of parameters: y/" + 4g/ sec 2.x

A: We will first find auxiliary equations and then find complementary solution to it.

Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: One method to obtain an approximate solution is to plot the function and determine where it crosses…

A: True  is correct ans

Q: 2x 4. Find the derivative of g(x) : %3D x4+vx Completely simplify your answer as a single fraction.

A: using formula  ddx(xn) =nxn-1

Q: 10 Зх — 1 Find the derivative of the function F(x) = 2 – 3x Answer

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Q: Consider the function f(x) = 2x – 3x? – 36x + 54. a. Find the first derivative. f'(x) b. List any…

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Q: Find the slope of the graph of the function at the given point.                         f(x) = 5 cos…

A: According to the question, we have to find the slope of function fx=5 cosx-9x at the point 0,5. The…

Q: On the graph of f(x)=sinx and the interval [2π,4π), for what value of x does the graph cross the…

A: The given function is fx=sinx. Calculate the interval [2π,4π), for what value of x does the graph…

Q: For function, find (a) the equation of the secant line through the points where x has the given…

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Q: 23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

A: Here is the solution of the given problem. Derivative: By chain rule

Q: Solve cosh 2r = tanh-r.

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Q: Q #03 by using be ta function Solve 2/13 dx

A: We have to find the integral of x-2/3 (1 - x)1/2 dx from 0 to 1 using the help of beta function.

Q: Differentiate the function y= 1-ex #48 y= e + Sincee) Cin2x

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Q: Assume that the increase in bacteria in a petri dish is 2° where t is measured in described by the…

A: Given Increase in bacteria =2t Time is 't' hours qt represents number of bacteria in thousands at…

Q: Find f'(1)when f(x) = ln(e*x").

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Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: 16. y= 3 cot(n6)

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Q: Suppose that y varies directly as x. When x is 9, y is 4. Solve for y when x is 72. (Enter an exact…

A: y varies directly as x. So y=kx

Q: If  f(x) = ex,  find  f(ln(2)).  (Simplify your answer completely.)

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Q: For the function y = f(x) = 4 1+x²³ a. Find the slope of the line tangent to its inverse function at…

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Q: 5. Find the derivative of the function f(r) = (r² + 5)e %3D

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Q: What do we say if the truncation error if it is proportional to h?

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Q: Differentiate the function.

A: Consider the following equation: y=e-2tcos4t Differentiate y with respect to t: dydt=ddte-2tcos4t…

Q: Are the functions f= O(g) and g= O(f) true if the positive functions f(x) and g(x) increase at the…

A: Given data:     The given expression for the first function is: f=O(g). The expression for the…

Q: Using the properties of derivatives, solve for f"(k lа.

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Q: f (x) = x+5

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Q: 4x+3 J When solving for the second order derivative of f, it yields to f"(x) = X(Ax+B) Cx³ Suppose…

A: The given function is, fx=4x+3x Differentiating with respect to x,…

Q: Evaluate f dx (x²+4)²

A: Given problem:-

Q: 4 For the function y = f(x) = 1+ x2 a. Find the slope of the line tangent to its inverse function at…

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: we have to find anti derivative of function -2/x3 . we have also check our answers by…

Q: 2r+3, x<I f (x) dx if ƒ (x) = 5, Evaluate

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Q: For the function y 8 f(æ) = 1+ x² ' a. Find the slope of the line tangent to its inverse function at…

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Q: Solve for X Iの) リ-X 2メ-S) こ X ta

A: Given, ln2x+1x+2=lnx-12x-5 Taking exponential on both sides, we have eln2x+1x+2=elnx-12x-5…

Q: 8 For the function y = f(x) = 1+ x2 a. Find the slope of the line tangent to its inverse function at…

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Q: Find the first and second derivatives of the function. (Simplify your answer completely.) f(x) %3D…

A: Given:    f(x) = x / x2 + 5