In Exercises 75–78, compute the higher derivative. d3 sin(2x) dx3 r3

Q: In Exercises 61-68, compute the derivative indicated. F(r, s, t) = r(s2 + t2), Frst

A: compute the derivative  Frst  for F(r, s, t) = r(s2 + t2)

Q: In Exercises 25-28, compute the derivative of f o g.

A: We first find the composite function  f∘g=f(g(x))=f(sinx)=2sinx+1

Q: Second Derivatives In Exercises 19–26, use implicit differentiation to find dy/dx and then dy/dx².…

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Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. f(t)=(9 t+2)^{2 / 3}

A: Given function - f(t) = 9t+223          Differentiating on both sides with respect to 't' - f'(t) =…

Q: Calculate the derivative using Part 2 of the Fundamental Theorem of Calculus. 29 de ²4 (2t5 - t) ²9…

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Q: In Exercises 45–48, calculate the derivative using the values: f(4) f'(4) 8(4) g'(4) -1 10 -2 5

A: f(4) f'(4) g(4) g'(4) 10 -2 5 -1

Q: Can I get step by step helpn with this problem?

A: Given function is

Q: Finding a Second Derivative In Exercises 45-50, find d?y/dx² implicitly in terms of x and y. 45. x2…

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Q: Can I get step by step helpn with this problem?

A: Given:

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

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Q: Find the first and second derivatives of the functions in Exercises 33-38. 1? + 5t – 1 - 34. s =

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Q: Can you help with this question step by step please

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Q: PQ. Use Theorem 13.9 to find the directional derivative of the function at P in the direction f(x,…

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Q: Derivative Calculations In Exercises 1–12, find the first and second derivatives.

A: We use the power rule to find the first derivative. Power rule: d/dx(x^n)= n*x^(n-1)

Q: Can I get step by step helpn with this problem?

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Q: dt Use the Fundemental Theorem of Calculus to find the derivative. dæ 8+ Vi

A: Given : ddx∫0xdt8+t

Q: EXERCISES 2: Find the derivative of the function at Po in the direction of A. 1. f(x, y) = 2xy –…

A: Ae per our guidelines we are supposed to solve only one question. For the solution of the first…

Q: 60. Y 3r-5 cost mx) "

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Q: Use the definition of the derivative to find the derivatives described in Exercises 55-58. d² 55.…

A: We have to find the derivative

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

A: Given, y=4e-x+7e-2x Now differentiate the above equation with respect to x we get,…

Q: In Exercises 5-24, compute the derivative.

A: We have to find derivatives of the function: Ht=sin t sec2 t We know the formula of…

Q: In Exercises 33-38, calculate the derivative.

A: The fundamental theorem of calculus ddx∫h(x)g(x)f(u)du=fgx.g'x-fhx.h'x  ....(i) According to the…

Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

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Q: Can i get help with this problem step by step

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Q: In Exercises 5-24, compute the derivative.

A: Given :  y = secθθ To find:  dydθ differentiate both sides with respect to θ in the given expression…