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

Q: In Exercises 61-68, compute the derivative indicated. f(u, v) = cos(u + v2), fuuv

A: While finding partial derivative in multivariable function, if we have to find the partial…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. cx² h(x) =…

A: Given that, Taking derivative from both sides, Apply chain rule with u = x2

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. V8 +…

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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: Find the first and second derivatives of the functions in Exercises

A: To find the first derivative, differentiate r with respect to θ, using the quotient, product and…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. F(x) V3 +…

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Q: In Exercises 21-24, calculate the derivative. (t5 – 9r³) dt dx Jo 21.

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. tan(x) 3t…

A: According to part 1 of the fundamental theorem of calculus,

Q: 3. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (1)…

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

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Q: Find the derivatives of all orders of the functions in Exercises

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(r) = V…

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Q: In Exercises 25-28, calculate the derivative.

A: Given  ddu∫1θcot u du At first we find the integral ∫1θcot u du, then find its derivative.

Q: Ise Part 1 of the Fundamental Theorem of Calculus to find the derivative of the fum 8(x) = [" 1 dt t…

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Q: Find the derivatives of the functions in Exercises 27. y = x2sin^2 (2x2)           28. y = x^-2sin^2…

A: To find derivative of 1) y=x2sin2(2x2)2y=x-2sin2(x3)

Q: Find the derivative of the function. g(u) = (8+ u²)*(1 – 5u²)8 %3D = (n), 6

A: Now we will differentiate g with respect to  u . And we will  derivative the function using chain…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x) = I…

A: Please refer to the image below

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

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Q: 1. Use Part 1 of the Fundamental Theorem of Calculus to find the derivative, g'(x), of the function.…

A: solnThe FTOC tell us that:ddx∫0xf(f)dt=f(x)  for any constant a(a) g(x)=∫2xt3  sin  2tdt…

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

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Q: Calculate the derivative d da 34 dt using Part 2 of the Fundamental Theorem of Calculus. 34 d dx…

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Q: In Exercises 25-28, calculate the derivative.

A: We have to calculate the derivative of the function: ddt∫100tsec5x-9 dx This will be solved by…

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: g(=) = / Compute the derivative of g(x) dt. -2xe5 - 2xe - 2xe

A: Given           g(x) = ∫x21et3 dt

Q: In Exercises 19-40, calculate the derivative.

A: To Calculate the derivative:-ddtxt-4t2-x, where x is constant.

Q: Evaluate the value of ‘a’ if the first derivative of m(x,y,z)=4-ax^2-2y^2, with respect to the…

A: Consider: mx,y,z=4-ax2-2y2 and mx1,2,3=-2. Solve for a. Calculate mxx,y,z by applying…

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: Can I get step by step help with this problem?

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

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

A: Given function is

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: Can i get help with this problem step by step please?

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

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Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0. x, F(x)…

A: Given: F(x)=∫x0 1+sec(7t) dt We have to find the derivative of the function (F'(x)) by using the…

Q: Use part one of the fundamental theorem of calculus to find the derivative of the function. g(x) =…

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