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Q: So far, you've examined the function y = In x and its derivative, y' = , for large values of x. Now,…
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Q: Compute Anti-Derivative (-1 --> 1) (x^3 + x) / (cos(x) + pi) dx
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Q: If the average rate of change of q (x) in the period (5,7) is equal to 8 and y (5)*y (7) = 16 and f…
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Q: Use forward, backward and central difference to estimate the first derivative of f (x) = In at x =…
A: Given function is fx=lnx and x=3 Step size h=0.01 We have to estimate the first derivative of fx=lnx…
Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =
A: the fiven function is f(x)=ln(x)
Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)
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Q: FInd the derivative of f(x) =ln 1+ex/1-ex
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Q: Find the second derivative if y = sinh- (n + x') at x = 0
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Q: Find the derivative of ¤(x) at x = /3/2 where rsin-'(x) $(x) = eº tan 0 do. x2
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Q: 2. Show a graphical method of approximating the instantaneous rate of change at x = 3 for the…
A: You must have idea about what is the basic difference between instantaneous and average rate of…
Q: what is the derivative of f(x)=ln(tanhx)
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Q: If the instantaneous rate of change of ƒ1x2 with respect to x ispositive when x = 1, is ƒ increasing…
A: As instantaneous rate of change of f(x) that is f'(x) is positive means the function f(x) is…
Q: 2.) Investigate the derivate of the function ƒ(2)=Imz by using definiton of derivative.
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Q: 1. Use forward, backward and central difference to estimate the first and second derivative of f (x)…
A: Given function is fx=coshx and x=2 Step size h=0.01 We have to estimate the first and second…
Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.
A: Here given as ƒ(x) = 4 cosh 2x. Thus
Q: 29. Find the 5th derivative ofy= sin2x
A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x The…
Q: 5. Find the 25" derivative of y= In x.
A: We have to find the 25th derivative of y=ln(x)
Q: 3. Solve the first derivative of f(x) = evx at x = 0.5 using centered finite-divided difference and…
A: To find the first derivative of f(x) at x=0.5 using centered finite-divided difference and a step…
Q: Find the derivative. f(x) = tanh(2 + e4x) f '(x)
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Q: What is the difference of antidifferentiation and anti-derivative?
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Q: Compute the derivative ln(ex+1) / 2x+1
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Q: compute the derivative. f (x) = ln(ex − 4x)
A: We can use chain rule ( Nested function form ) of differentiation to find the derivative. According…
Q: 2 Find the derivative of y = arctan(x´ + 3)
A: We have to find the derivative of the given function.
Q: a the derivative of h(x) = ln + 2 x5 et |
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Q: What is the first derivative of f(æ)= ln(3z²+7z )? 5z
A: Given f(x)=ln3x2+7x5x We know that derivative of ln(x)=1/x…
Q: 4 Find the first derivative of y = In X +
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Q: What is the 2nd derivative of y=cosh(x+y)?
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Q: (4) Find the derivative of f(x)= tanx+5
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Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…
A: Let A=π r2 differentiating A with respect to time tdAdt=2πr…
Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.
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Q: If the instantaneous rate of change of ƒ(x) with respect to x is positive when x = 1, is ƒ…
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Q: Find the first derivative: In 2x f (x) 1- In 2x f(x) = In (sec x) f(x) = cos (In x) f(x) = In[cos…
A: we can answer only three subparts, or the first question and the rest can be reposted. No more than…
Q: What are three methods that can be used to estimate the instantaneous rate of change in g(x) at x =…
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Q: Find the derivatives of the functions in Exercis y = xe-x + ex3
A: y=xe-x+ex3
Q: 4) Find the derivative of y = arctan(x² + 3)
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Q: find the derivative of y with respect to the givenindependent variable. y = log25 ex - log5 √x
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Q: Compute the second derivative of f(x)=ex+x at x = 1 using a step size h = 0.2
A: To find the second derivative of f at x = 1. The approximation formula for second derivative at a…
Q: find th first derivative: x=2cos2 t/2
A: we need to find the first derivative of
Q: Find the derivative of s(*) - L Int dt 1+t
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Q: Find the first derivative: y = 5 arctan (3x) O y = 15 9z6-1 O y' = 45z2 %3D 1-976
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Q: find the derivative of f (x) at the designated value of x. f (x) = x5 at x = 3/2
A: Given function is: fx=x5 We have to find the derivative of f(x) at x=32. Then we get,…
Q: 3. For which values of a is the derivative of f(x) continuous on R?
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Q: What is the derivative of: 4 ln(sec y + tan y) − 2x − sin 2x = 1
A: Given: 4 lnsec y+tan y-2x-sin 2x=1 To Find: dydx=?
Q: Find the derivative. f(x) = eX cosh(x) f'(x) =
A: First use relationship between hyperbolic function and exponential function convert coshx in…
Q: Suppose that the revenue (in dollars) from the sale of a product is given by R = 60x + 0.8x2 -…
A: The revenue (in dollars) from the sale of a product is given by, R=60x+0.8x2-0.003x3, where x is the…
Q: Find the derivative of the function. y = x°cos x - 10x sin x - 10 cos x
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Q: What is the derivative of: y ln x − x ln y = 1
A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…
Q: If y=x+ 4÷x+1 use the first derivative test to find where relative extrema occur.
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Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…
A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…
Q: Suppose that the second derivative of the function y = ƒ(x) is y'' = (x + 1)(x - 2). For what…
A: An inflection point is defined as the point on the curve at which sign of the curvature changes.…