Use the product/quotient Rules as well as the table on the right to find the derivative of the following function at x = 3: f(x) f'(x) g(x) g'(x) 4 1 xf (x) H(x) = g(x) 1 4 That is, find H'(x)lx=3. 4 1 552 13 M3542 1232 5

Q: Compute the derivative of g(x)=arctan(x^3+1)

A: From the given data:

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Q: HiHtar is THe secoyd derivative OF Y

A:

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Q: find the derivative of y with respect to the givenindependent variable.

A:

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: find the derivative of y with respect to xas appropriate.11. y = ln 3x + x              12. y = 1/ln…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

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Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 1 using a value…

A: The two-point forward difference formula to calculate f'(x) is f'(x)=f(x+h)-f(x)h, where h is the…

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Q: Find the derivative of function.

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Q: 54th Dorivative: fle)=2-4sin (a2)

A:

Q: Find the derivative using the product rule. y = eX In x

A: y=exlnx

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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: Use forward, backward and central difference to estimate the first derivative of f(x) = In(x) at x =…

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Q: fcx)= Y文 メ ー^

A: Local extrema

Q: 3) Find the first derivative of y=(In x)"

A: According to our guideline 3 subparts of question or the first question can be answered and rest of…

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

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 the derivative of fcx) = en (sinh Cx)) 5

A:

Q: Compute the derivative of the function y = 6 cos- (7x) at the point x = (Use symbolic notation and…

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Q: h(x) = tan(x' sinx) sinx (b) y= - V1+ cosx

A: Topic = Derivative

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A:

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Q: what the derivative fxy er hin ction Sas)=x'tan)

A:

Q: Apply central divided difference approximation (CDD) to find the first 5 derivative of F(x) = e0.8x…

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Q: Find the derivative of the function using chain rule. f(x) = esin?x

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Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (2e-tsin t)

A: On simplification, we get

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = 1/ln 3x

A: Given:

Q: 2 Find the derivative of y = arctan(x´ + 3)

A: We have to find the derivative of the given function.

Q: 4 Find the first derivative of y = In X +

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

A:

Q: Find the derivative of the function using implicit differentiation.  1.) x²y + y²x = -2  2.) √(xy)…

A: 1.) x²y + y²x = -2    2.) √(xy) = x²y+1 ntiderivatives for integral notation. (x+7) dx

Q: Use forward-difference formula to evaluate the first derivative of y = cos(x) at x = using a value…

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Q: e derivative of y with respect to x. y= 2sin^-1(5x^4

A: we have to find the derivative of y with respect to x.y=2sin-1(5x4)

Q: Use forward-difference formula to evaluate the first derivative of y = tan(x) at x = 4 using a value…

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Q: 4) Find the derivative of y = arctan(x² + 3)

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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: 3. Find the derivative of: y = csch¬(In (sech(sec()))).

A: Note:Two questions submitted simultaneously, kindly upload question 2 separately.

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 2θ

A: Given, y=csch-12θ

Q: is the derivative of In

A:

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Q: 13 Use the power rule to find the derivative of f(x) = 'Vx.

A:

Q: Show that the derivative of f(x) =xln(x)−x is ln(x). Use this to compute∫ln(x)dx.

A: Sum/difference rule of differentiation,

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

A:

Q: (In iny

A: To find the derivative of the given function- lny=lnxylny Here we will use the following formulas-…

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: