Let f(x) = 3,/x. If g(x) is the graph of f(x) shifted down 6 units and left 3 units, write a formula for g(x). g(x) = Enter va as sqrt(x).

Q: Find the derivative.   g(x) = 4^x/x^4

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Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = (x3 +…

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Q: 1-x e) f(x) = 1+x

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Q: Find the x-coordinates of all local maxima using the second derivative test. g(x) = a - 3x + 2

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Q: Differentiate the following function.   y =  ln -2x + 1

A: Given function is y=ln-2x+1. To differentiate the given function. Solution: Chain rule of…

Q: Let f (x) = log7 (20x7) + 33x. Find the derivative of f.

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Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 19 – x²;…

A: The given data is: gx=19-x2 To find the slope of the tangent line at the point 3,10.

Q: Let f(x) = log2 (4x-x²)+2x. At what point is the tangent to the curve y = f(x) perpendicular to the…

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Q: Use the formal definition to find the derivative of g(x)=√6x at x = 3. Find g'(x) for the given…

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

Q: Use the guidlines to sketch the graph of the function  y=1/x + ln x

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Q: Determine if the MVT applies to the function on the given interval. If so, find the points that are…

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Q: For the function y = (9x2 - 27)/x3 , determine the increasing and decreasing intervals, and identify…

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Q: Find the derivative. (e^(x^3+1))^4

A: Given :

Q: How do you use the graph of f(x) shown to the right to find the following, if they exist. If a…

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Q: 5. f(x)=3x*e*

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

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Q: Write cosh(ln(x)) as a rational function of x.

A: Cos h (lnx)We knowCos h (a) = ea+e-qzsoCos h (ln x ) = elnx+ e-lnx2                       = x+1x2…

Q: In the given question , find all functions f having the indicated property? The tangent to the graph…

A: Explanation: Given a function f(x) and point of tangency (x,y). Also given that, the tangent line…

Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: Find the derivative. F'(x) if F(x) = (ex³ + 8)ª

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Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

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Q: The Range Rf for the functionf (x) = tanhx is:

A: Range of f(x)= tanh x

Q: use the chain of rule to differentiate f(x) = (x^10+ln(x))^10. What is the value of f^1(l)?

A: The given function f(x)=x10+ln x10

Q: Find the anti-derivative of the function and evaluate. g(x)=2x g(0)=7

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Q: g) g(x) = (2vx – 1)(VF+3)

A: Given query is to find the derivative of the expression.

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: For the function f(x) = 3x ln x, find f'(x) =

A: Given functionfx=3x4 .ln x

Q: Use the Quotient Rule to find the derivative of the function. x2 h(x) %D x + 4 h'(x) =

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Q: For the function given by g (x) = x2 + 2x +1, use the limit definition of the derivative to compute…

A: Please refer the attached image for complete solution.

Q: Find the function whose tangent line has the slope 3x² + 1 for each value of x and whose graph…

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Q: 8. 4 2

A: In this question we will use basic of calculus i.e use of tangent function. We will write the…

Q: g(t) = cosh-1 t3

A: The objective of the question is determine the derivative of the given function.

Q: g(x) =e*(2x² – 3x)

A: g(x)=e^x (2x^2-3x)

Q: Q3// By using logarithmic differentiation and with respect to independent variable x, find the…

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Q: Use the second derivative to determine the intervals on which the given function is concave up and…

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Q: Given f(x)=ln(5x), what is f'(x) when x=14.2?

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Q: Let f(x) = square root ( 4x + (3x -5)10 ).Find the equation of the tangent line to the graph of the…

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Q: Find the derivative of the following using the limiting process. f(x)= -4x2 + 5x

A: Given: fx=-4x2+5x

Q: Sketch the graph of the function  f(x) = ln∣x∣ and state its domain.

A: Sketch the graph as shown below:

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Solve by definition of derivative if f(x)=x+Vx AND also Find x? w.r.t x*

A: fx=x+x Now by the definition of derivative, we have…

Q: What are the domain and range of f (x) = ln x?

A: Given function:   Domain: The domain of a function is the set of  input  values for which the…

Q: Does the graph of y = sqrt(x) - ln x, x> 0, have an inflection point? Try to answer the question…

A: To determine if the function has an inflection point.Part (a) By GraphingPart (b) By Calculus

Q: Given ƒ(x)=2x² – x, find f '(x)using the definition of the derivative. www ww

A: Derivative of function f(x) by definition is defined by f'(x)=limt→xf(t)-f(x)t-x

Q: Find the values of x where the tangent line is horizontal for the function  f(x) = x2(x-5)3

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Q: Use the formula for instantaneous rate of change, approximating the limit by using smaller and…

A: Given: f(x) = xx , x = 3 To find: The instantaneous rate of change of the given function at the…