Find the derivative of the function   f(x)=ln(x3(2x+1)/x^2−3)

Q: Find the derivative: y = ln² (3x + 1) O y' = O O O y' = y' = y = 2 ln(3x + 1) (3x + 1) 6 (3x + 1) 3…

A: Consider the function y=ln2(3x+1). The objective is to find the derivative of the function.

Q: Find the derivatives of the functions in Exercis y = xe-x + ex3

A: y=xe-x+ex3

Q: Find the derivative of sinh(x)tanh(x).

A: As per our guidelines I am solving only first problem please repost other question.  y = sinh(x).…

Q: ) y = In³ )) (tanh²(scc '(x²)

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Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: What is the derivative of 2(x)ln(x)+x

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Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: Find the derivative of the function f(x) = tanh(4x2 + 3x)

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Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Find the second derivative and the points of inflection using the second derivative f(x) = ln(x) /…

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Q: derivative of y = arctan(x2+ 3)

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Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: 2. Use logarithmic differentiation to find first derivative of y = (sinx)*

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Q: find the derivative oof 1/x^3 + 3* 1/square root of x

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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: Find the derivative of ln(2x2)+ln(2x)+1/3 where x=1

A: Given,           The derivative of  ln2x2+ln2x+13 where x=1

Q: find the first derivative f'(x) at the point x 1.3. Use two point central difference

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Q: Find the derivative ofƒ(x) = 1/x5in two different ways:using the Power Rule and using theQuotient…

A: given: f(x)=1x5 the differentiation of the function f(x)=1x5 by using the power rule is: the…

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: Find the derivative of the function f(x) = cosh(8x + 1)

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Q: Find the second derivative of g(x) = sinh(x) cosh(x)

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Q: Estimate the derivative of f(x) = sinx at x = π/6

A: Since,it is known that the derivative of the function with any variable measures the rate of change…

Q: Brd Derivative OF y=-Jin3x

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Q: a the derivative of h(x) = ln + 2 x5 et |

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Q: Find the derivative of the function. y = tan−1 (square root of x - 4)

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: FInd the derivative of f(x) =ln 1+ex/1-ex

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Q: Find the derivative of f(x) = –4 ln (5 cos (-4x))

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Q: Find the derivative y=ln(2x^3+6x-1)^3

A: y=ln2x3+6x-13 take derivative y'=ddxln2x3+6x-13 y'=12x3+6x-13ddx2x3+6x-13

Q: 1. Use logarithmic differentiation to find first derivative of y = xsinx

A: As per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Find the derivative 4 y = In x +

A: It is given that- y=lnx+4x To find the derivative of y, use the addition rule, i.e.,…

Q: 1-sinx f(x) = V1+sin x

A: Since, you have asked multiple question , as per the company guidelines we will solve the first…

Q: Find the derivative. y =(ln(ln x))3

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Q: Find the derivative of the function y = x tanh−1 x + ln√(1 − x2)

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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: Find the first derivative of ƒ(x) = 7x¹⁰² cot(x). 10 f'(x) =

A: Given :fx=7x10excotx

Q: Compute the derivative ln(ex+1) / 2x+1

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Q: Find the value of the derivative of the function y=sinx/3 at x=2π.

A: Here given as Differentiate the above function with respect to x

Q: Find the derivative of the function f(x) = (3+arctanx)^(ln(x^2 +1))

A: Apply exponent rule:

Q: What is the Derivative of yx

A: f(x) = yx

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: 3rd derivative of y sin 3x

A: Here we have to find the 3rd derivative of           y = -1/sin(3x)

Q: Calculate the derivative of the function y=log2 x ln (2x) at x=1.

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Q: use logarithmic differentiation to find the derivative of the function fx)=(sinhx)s(sx)

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

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: find the derivative of f(x)=sec(x^4)ln(9x-8)

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: Find the derivative of the function. Simplify wherepossible  x lnarctan x

A: Let f(x)=xlnarctanxDerivative formula:ddxlnx=1xddxtan-1x=11+x2arctanx=tan-1x