-3/2 Substitute c = 5e¬ in f(x) = 4x² In() and find f(c). 5. R6) = «(se-3/2}* in(3e2) AC) = 4(se=3/2)* In(. 5 f(c 5e -3/2 e 4 5e-3/2 %3D 2 %D e'

Q: d ) = (x³+1)(2x)-(x²)(3x²). dx (x3+1)2

A: Since you have posted multiple questions and we can amar one question. So, answered first question.

Q: If f(x) = 10x + 4, find ƒ'(10). f'(10) =

A:

Q: Find f'(2), if f(x) = In(2x³ – 3x).

A: Given,          fx=ln2x3-3x

Q: Given f(x) = In(- 4e" – 13), f'(x) = %3D

A:

Q: Find the limit. lim (t i − 3 j + t² k) 1-5 lim (t i − 3 j + t² k) − i 1-5 i k = i+ i j+

A: We can find the exact answer as below

Q: 2 f(x) = 3x4 10

A:

Q: Suppose that f(2) = -3, g(2) = 2, f '(2) = -4, and g'(2) = 5. Fir (a) h(x) = 5f(x) – 4g(x) h'(2) =…

A: Since you have asked multiple part question, we will solve the first 3 part of the question for you…

Q: The integrating factor of xdy + ((3x + 1)y – xe-2*)dx = 0 is %3D O a. xe* O b. 3xe* O c.x'e* O d.…

A: given :

Q: Let f(z) = (3z + 8) %3D 6. f'(z) = (3x 8)4 6. f'(3) = (3x 8)4

A: See the details solution in below

Q: If y=+*+9x²+26x+24 gấp 46 find f'(2).

A:

Q: If f(x) = x(e*+=') , then f'(x) = %3D %3D (A) (e² + æ³) æ(e*+z*-1) (B) (e" + 5æª) In(x) æ(e*+a*) (C)…

A: We have to find derivative of f(x).

Q: If F(x) f(g(x)), where f(1) = 8, f '(1) = 3, f '(-1) = 5, g(-1) = 1, and g'(-1) = 4, find F '(-1).…

A:

Q: sinh(2 In(c)) = %3D (A)를 + 옮 2c (B) c2 - (C)를 1 - 1 (D) c-! (E) 0 10:12 AM

A: As per our guideline we are supposed to answer only first asked question.Kindly repost other…

Q: (x²y* + 2xy)dx + (2x³y³ – x²)dy = 0 -

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Q: hat is y(t)?

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A:

Q: Suppose f(2) = 4, f' (2) = 5, f(8) = 8, f' (8) = 2, g(2) = 4, g' (2) = -6, | dH and H(x) = f(x² +…

A: Topic :- Derivative

Q: 6x +1 12. j ** dx = x +9 A. 6ln(x² +9)+ 3arctan +C 3 B. 3ln(x +9)+ arctan +C 3 1 C. 3ln(x²…

A:

Q: 2x³y' = y(y² + 3x²) a. y-2x2 -x +c b. yx3 -x + c C. y2x x3 -x+c d. y'x2 = -x +c

A:

Q: Given f(z) 3D 1-홀 (7+ 3x) + 을(7+ 3x)2- (7+3x)" then f'(z) =. -을 + 꼴 (7+ 3z) -(7+3x)2+ | .... -글 +…

A:

Q: Suppose F(7) = 3, F(10) = -6, and F'(x) = f(x).

A:

Q: Let Zlx) ~N(0,1) prop (x1.21) = %3D prop

A: Let X be the random variable from standard normal distribution with mean = 0 and standard deviation…

Q: 3 +5 - dx =

A:

Q: 1 64 + 4f(1) + 7z²(f(x))* = 0 and f(1) = -2, find f'(1).

A: Given:

Q: The derivative of f(x) = 9z3 12 8. is %3D 3z f'(x) O f(r) – 9x?+ 12x 4 – 9r– 12x + 8e 7 O f(r) - 9x…

A:

Q: ga)= 3(5x²-2 Vn) FIND g'k)

A:

Q: Use the Limit Comparison Test to determine the convergence or divergence of the series. lim 818 00 n…

A: Given series:- ∑n=1∞6n+17n+1

Q: If f(x) = (2x + 1) (x - 3)°, then f'(2) = %3D

A:

Q: Suppose dy/dx= (3x+1) √(3x^2+2x) and y(0)=1. what is y(5)?

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Q: f"(x) = 7x – 2 - and f'(-3) = –6 and f(-3) -2. Find f'(x) = and find f(4) =

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Q: If f(4) = 3 and f'(x) 2 3 for 4 s xs 9, how small can f(9) possibly be? (9) 2

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Q: Suppose F(4) = 6, F(5) = - 10, and F'(x) = f(x). 5 f(x) dx [5

A: Topic - definite integral We are given, F(4) = 6 ,F(5)=-10 and F'(x)=f(x) We need to find ∫45f(x)dx

Q: If g(x) = f(x² + 9x) and f'(10) = 3 , %3D %3D then g'(1) = (A) 11 (B) 3 (C) 33 (D) 29 (E) 87 (A) (B)

A:

Q: (2g (x) + 4) dæ = 22 and g (x) da = 12, then g (x) dæ 10 /3

A: Given; The integration of [2g(x)+4] limit from -1 to 3. And the integration of g(x) limit from 10 to…