A point P is moving along the curve whose equation is f(x) = lae2x+3 . By using second derivative for 3-point central and 5-point difference formula with h = 0.05, calculate how far P is moving when x = 1.25.

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

Q: Find the nth-order derivative of the function y=arctanx at the point x=0.

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Q: Calculate the derivative. y = tanh(t2 + 1)

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Q: Find the derivative of the function. y = 3x e -X - 3 ex3 dy dx

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Q: Find the derivative of the function y = sech−1 (sin x), 0 < x <   /2

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Q: Find the derivative of the function y = sinh−1(tan x)

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Q: Find the derivative, if y3 (log x)* + y = (log x)* +(sinx) -1

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Q: dy Find the derivative of the function x4 In 3y = y sin 3x + eta.

A: We have to solve the problem

Q: calculate the derivative. y = tanh(t2 + 1)

A: Given: calculate the derivative.  y = tanh(t2 + 1)

Q: find the derivative of y with respect to the givenindependent variable. y = θ sin (log7 θ)

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Q: Find the derivative of the function y = coth−1 (e2x)

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Q: Find the derivative of the function. y= log sv7x +3 dy dx I3D

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Q: Determine the derivative of the following functions. 1. y = tanh (8x – 3) 2. y = 2x sinh(6x – 5)

A: Here we will use standard formulas for derivative of inverse hyperbolic functions, product rule of…

Q: Use three-point midpoint formula to evaluate the first derivative of y=tan(x) at x = O-2√/2 00…

A: Given function is y=tanx. We have to evaluate the first derivative of y=tanx at x=π4 using a value…

Q: find the derivative of y with respect to the givenindependent variable. y = 5√s

A: Given

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

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Q: Find the slope to the tangent line of the equation y2e2x = 3y+x² at (0,3) Hint: perform implicit…

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

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Q: Find the derivative of the function y = (1/2) arctan e2x

A: Given function is y=12tan-1e2x Chain rule of differentiation states that: ddxfgx=f'gxg'x And also we…

Q: y = In(tanh 2x)

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Q: Evaluate the derivative of y =e* sinh (2x). -3x

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Q: Use three-point midpoint formula to evaluate the first derivative of y = cos(x) at x =; using a…

A: The three-point midpoint rule to calculate f'(x) is f'(x)≈f(x+h)-f(x-h)2h, where h is the step size.

Q: The second derivative of the function is y = arctan 2x

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Q: find the derivative of y with respect to the givenindependent variable. y = 3 log8 (log2 t)

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Q: find the derivative of the funciton y=xe^(5x)

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Q: Use the power rule to obtain the derivative of the first term. 10(x-1/3) = 10( dx Submit Skip (you…

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Q: find the derivative of y with respect to the givenindependent variable. y = log4 x + log4 x2

A: Given: By using logarithm base change rule, the function can be rewritten as follows,

Q: Use Richardson extrapolation to estimate the first derivative of Y = sin x at * = π/4 using step…

A: Given the function  y=sinx

Q: Why is the notation dy/dx used to represent the derivative?

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Q: find the derivative of y with respect to the givenindependent variable. y = log2 5θ

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Q: - In y = e' sin x

A: We have to find dy/dx of the above equation.

Q: 26. х3 + уз %3D бху — 1, (2, 3)

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Q: y = cos /sin ( tan tx

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Q: Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

A: It can be solved using differentiation.

Q: f y = (sin x)x b

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Q: Which is the first derivative of y=vx ?

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Q: Find the derivative of the function

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Q: 12. y= tanh(t2 +1)

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Q: Find the second derivative of the equation below evaluated at y = 1:

A: Given that: The implicit equation 4 e y + x y = 4e.

Q: Find the derivative of the function. y = log |5- 2x dy dx

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Q: calculate the derivative y = tanh−1(ln t)

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Q: b) y = cosh(2Vx+1)

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Q: find the derivative of y with respect to the givenindependent variable. y = log3 (1 + θ ln 3)

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Q: Find the derivative of the function f(x) = sinh 9x

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Q: Use three-point midpoint formula to evaluate the first derivative of y = sin(x) at x = using a value…

A: To find- Use three-point midpoint formula to evaluate the first derivative of y = sinx at x = π2…

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

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Q: y=

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Q: Which is the first derivative of y=vx ? *

A: Given Data: y=x Formula: d(xn)dx=nxn-1