Find the first and second derivatives of the function. u f(u) u2 + 8

Q: Find the derivative of the function. u4 + 8Vu f(u) = 8.u10 +14. 4" – 24. 1u -9. uT - 4 e" + u2 F(u)

A: givenf(u)=8u10+14(4)u-24(π)u-9uπ-4eπ+u4+8uu2diffrentiate with respect to u we know d(xn)dx=nxn-1and…

Q: Find the derivative of the function. f(u) = (6u + 9)3/2 + (u2 − 6)−3/2

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Q: Find the derivative of the function. F(e) = (3t + 18)2/3 f "(e) =

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Q: Find the derivative of the function. e9u y = e9u + e - 36 (" +e")2(e2u – 1 +2–2u)²(6eu – 1 + 6–6«)²…

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Q: Find the derivative of the function. f(u) = 8.u10 +14. 4" – 24. n u -9. uT – 4 eT + u2

A: Note the formula of derivative d/du (constant) = 0 d/du (u^n) = n.u^(n-1) d/du (a^u) = a^u . ln(a).…

Q: Find the derivative of the function. u4 + 9Vu f(u) = 9-u11 +17. 64 – 27. 1u -11. u – 6 eT + u2 F(u)…

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Q: Exercise3. Determine the first and second derivative given the following functions. 1. f(x)=x - 9x²…

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Q: xy2+5x2-3y2+45=0  (1,5)   Evaluate the derivative at the given function point.

A: We have to find derivative

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

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Q: Find the derivatives of the functions s = -1/15(15t - 1)3

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

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Q: Find the first and second derivatives of the function. g(t) = t2(6t + 5)4

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Q: Find the first and second derivatives of the following function: g(t) = f'eª g'(1) = g"(t) =

A: g't = dgdt= dt3e2tdt= 3t2e2t + t32e2t = 2t3+3t2e2t = 2t+3t2e2t

Q: Find the derivative of the function. f(e) = (3t + 18)2/3 2 f (e) = 3/3t + 18

A: Topic:- derivatives

Q: Find the first and second derivatives of the following function: g(t) = t°et gʻ(t) g"(t) = %3D

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Q: Find the first and second derivative of the function. G(r) = Vī + V7 %3D G'(r) G"(r) II

A: Given function

Q: (b) Find the derivatives of the following functions: %3D

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Q: Find the derivative of the function. u4 + 5Vu f(u) = 5.u? +12. 9u – 15. 7u -14. u - 9 e" + u2

A: Given a function, f(u)=5u7+12×9u-15×πu-9eπ+u4+5uu2 To find the derivative of the above function.

Q: Find the derivatives of all orders of the functions y = (x - 1)(x + 2)(x + 3)

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Q: Find the derivative of the function h(w) = -7w¯4 +6/w. %3D h'(w) :

A: The function is  h(w) =-7w-4+6w. We know that derivative of wn, i.e., dwndw = nwn-1.

Q: Find the derivative of the function. t3 h(t) = t8+5, 5,10+ 152 h'(t) = %3D (+5)2

A: Given: ht=t3t8+52

Q: Find the first and second derivative of the function. G(r) = Vr + Vr G'(r) = G"(r)

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Q: Find the derivative of the function. 8. u3. =D3 g(u) u + 3

A: Topic:- application of derivatives

Q: Find the first and second derivative of the function. G(r) = Vr + Vr G'(r) G"(r) II II

A: For this problem, we will use the following result: ddxxn=nxn-1     for all real n.

Q: Find the first and second derivatives of the function g(t) = t2(5t + 4)^4

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Q: find the derivatives of the given function. g(x)= e2xln(x4)

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Q: Find the derivative of the function. g(u) = (7+u^2)^5 (9-10u^2)^8 g '(u) =

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Q: Find the derivative of the function. g(u)=(8+u^2)^5(12-6u^2)^8

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Q: Find the derivative of the function. g(u) = (9 + u ^ 2) ^ 5 * (11 - 9u ^ 2) ^ 8 g^ prime (u)= Box

A: Given,           The function is gu=9+u25*11-9u28.

Q: Find the derivative of the function. (x² + 1)6*². 1 u(x) = u'(x) =

A: This question is related to differentiation solve in step 2.

Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

Q: Find the derivative of the function. C = Choose the correct answer below. O A. c' = (6)(0) – (k³)…

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Q: T(x) = x®, B(x) = x? T(x) A) The derivative of · is B(x)

A: Given: Tx=x8, Bx=x2 for finding derivative of TxBx, we first find TxBx then differentiate it

Q: Find the first and second derivatives of the functions in Exercises q² + 3 p = (q – 1) + (q + 1) -

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Q: a) f(x) = V2x – 1 b) h(x) %3D 5x* - Зх2 — 8х

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Q: Find the first and second derivatives of the function. g(t) = t²(6t + 3)* %3D

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Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

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Q: Find the derivative of the function. Q(x) = V e8x + x %3D Q'(x) = %3D

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Q: Determine whether the statement is true or false. If h = fg where f and g have second-order…

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Q: Find the first and second derivatives of the functions r =(θ - 1)(θ2 + θ + 1)/θ3

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Q: Find the derivative of the function. g(u) =   (u^3-4/u^4+4)^8

A: We will find the derivative using the chain rule.

Q: Find the derivative of the function. f(u) = u7e−u

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Q: Find the first and second derivatives of the function. g(t) = t2(3t + 8)4

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Q: Find the derivative of the function. g(u) = Vu + 1(1 – 3u2)7

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Q: Find the derivative of the function. g(u) =  8u2 (u2 + u)3

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Q: Find the derivative of the function. z - 8 z + 8 F(z) F'(z)

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Q: Find the derivative of the function. (u) = 5-u7 +12- gu - 15. nu -14. - 9 e" +. F(u) =

A: Given function is fu=5·u7+12·9u-15·πu-14·uπ-9eπ+u4+5uu2. To find the derivative of the function.…

Q: Find the first and second derivatives of the function. G(r) = √r  + 3 √r

A: Given: Gr=r+r3 We know that ddxxn=nxn-1                                                      ..1

Q: 4. Find the derivatives of the following functions. a. y= 2x b. y = x³ C. y= 4x -7

A: a. y=2x Differentiating both side with respect to x dydx=2b.y=x3Differentiating both side with…