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

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: 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: 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: In Exercises 7-12, compute the derivative. 7. r( t) = ( t, t 2 , t 3 )

A: Given: r(t)=t, t2, t3 To determine: Derivative of given vector

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

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Q: In Exercises 5 and 6, write the function as a composite f (g(x)) and compute the derivative using…

A: Let us take Then we have By chain rue of differentiation

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

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

A: Given: ddx∫0x2tdtt+1 for finding derivative of given expression, we will use Leibniz theorem…

Q: Find the derivatives of the functions in Exercise

A: Given w=re-r

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

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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: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. 0. F(x) 7…

A: The objective of the question is find the derivative of the given function.

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: Use part one of the fundamental theorem of calculus to find the derivative of the function. f(x) V9…

A: Fundamental Theorem of Calculus (Part one): If f is a continuous function on [a,b], then the…

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: Use Leibniz's Rule to find the derivatives of the functions in Exercises 31–-38. sin x 32. f(x) =…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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

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