The function of position of an object in motion with respect to time is obtained by fa] a. integrating its function of acceleration once b. differentiating its function of velocity once c. integrating its function of velocity twice d. differentiating its function of acceleration twice

Q: (a) Find the slope of the tangent line to the function y 3+sec (x) at 1-sec (x) X = -. 4

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

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A: Find the derivative of the function y=-13cot32x+cot2x+2x.

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A: Given:        k(x)=12+x,    x=2.

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Q: Find the second derivative of the function f(x) = x sin(x) + cos(x)

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Q: Calculate the derivative.

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Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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A: Given, fx = 3x  We have to find the value of x at which the slope of the tangent line to the curve…

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A: Given that  function f(x) = e3x - 6x and we determine the value of x the function have horizontal…

Q: compute the derivative indicated. g(x, y, z) =x2 + y2 + z2, gxyz

A: Given function g(x, y, z) = x2 + y2 + z2

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Q: Differentiate the functions and find the slope of the tangent line at the given  value of the…

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Q: Find the derivative of function.

A: Use the product rule to find the derivative for s. s=t2lntdsdt=ddtt2×lnt+t2×ddtlnt

Q: For the function f(x) = x² – 4 at the point (4, 12), find: a. the slope of the curve using the…

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Q: Differentiate the function. y = In(eX + xe )

A: In this question first apply the property of log and then differentiate as shown...

Q: Find the second derivative of the function.

A: Given,         f(θ)=3tanθ

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A: The following formulas of differentiation can be used to solve the given derivative. i d dttan…

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Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

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A: Given:   fx=x sinx  To find: f"x=?

Q: Find the derivative.

A: Given,

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Q: Find the value of the derivative of 23 1. (z+i)3 2. (z – 4i)8 at z = 3 + 4i at z = i

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Q: w(x) %3D хе*

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A: The solution is given below

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