In Exercises 25-28, compute the derivative of f o g. f(u) = 2u + 1, g(x)= sin x

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

A: y=sinx2cosx2

Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: We will use the power rule first and then use the chain rule   y=(x2+9x)-2 y'=-2(x2+9x)-3ddx(x2+9x)…

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

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Q: In Exercises 173–176, use theresult of Exercise 172 to find the derivative of the function. h(x)=|x|…

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Q: Use part I of the Fundamental Theorem of Calculus to find the derivative of 4x F(x) = | cos (t) dt.…

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Q: Calculate the derivative 5¢6 23 dt dz using Part 2 of the Fundamental Theorem of Calculus. 5,6 23 dt…

A: step 1: recalling fundamental theorem of calculus Step 2: interpreting with the given question step…

Q: (213 -1 28 dt dz

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

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Q: In Exercises 29–32, compute the derivative at the point indicated without using a calculator.

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

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Q: Find the anti-derivative of g(x) = sec(x) tan(x) which contains the point (TT, 0). O G(x) = -csc(x)…

A: Solution to the anti-derivative can be found by integrating the function.

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

A: Given that y=z+1z-1=z+1z-112

Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Given: y=cos9θ+41 we know that ddxcoskx+c=-ksinkx+c where, c is constant

Q: Compute all second derivatives of f(1.y) = (x+) e- %3D

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Q: In Exercises 33–46, find the derivative.

A: The given function is y=1-t2+sin-1t

Q: In Exercises 29–32, compute the derivative at the point indicated without using a calculator.

A: Consider the given function, y=tan-1x it can be written as, tany=x use implicit differentiation…

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

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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: Find the derivatives of the functions in Exercises y = 2 tan^2 x - sec^2 x

A: y=2 tan2x-sec2x

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: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. (t - g'(s)…

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

A: We have to find the derivative of the function: fx=2x4-4x-1sec x We will use following formula of…

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

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

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: 5) Use the Fundamental Theorem of Calculus to define of the function fol=sin (x?+!) ant-derivative…

A: According to the fundamental theorem of calculus, the following expression is to be true if F is 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: Explain how to use the differentiation part of the Fundamental Theorem of Calculus 2+sin(41) 3-9 to…

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Q: the derivative of sin (x) h(x) = (cos (t) + t)dt COs - 4 h'(x) = ||

A: Using Fundamental Thereom of Calculus of part 1 and chain rule,

Q: In Exercises 33–46, find the derivative.

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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 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Consider the given function as y=cos4θ

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…