(2t+1) Find the derivative of S (t) = e6t eot (3(2t + 1)2 (2))- (2t + 1)³ (e* (6)) (e6t)2 s' (t) = (2t + 1) (et (6)) – eôt (3(2t + 1)² (2)) (e6t)2 s'(t) : e6t (3(2t + 1)(2)) – (2t + 1)³ (e®' (6)) (ebt)2 s'(t) = ebt (3(2t + 1)2 (2)) – (2t + 1)³ (et) (e6t)2 s'(t) =

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

A: Answered first three subparts as per our company guidelines.

Q: A table of values for f, g, f', and g'is given. f(x) g(x) 3 2 x 1 2 3 ليا 1 7 8 2 (a) If h(x) =…

A: I am going to solve the given problem by using some simple calculus to get the required result of…

Q: x+f(x) g(x) then find h'(2). If h(x) =. and f(2) = 2, f'(2) = - 5, g(2) = 1, g'(2) = 0,

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Q: If f(x) = (x² +2) e², what is f'(x)?

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Q: f(x) f (x) a (x) g' (x) 1 0 -4 -3 -2 2 -4 -3 -3 3 -4 4 5 14 4 6. 17 27 31 h(x) = xf(x)+g(2x – 5)…

A: to find h'(3)

Q: In(x²) What is the derivative of

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Q: (3) The derivative of y = In √√x is (A) y' = √³ 2 (B) y' == / 1 (C) y' = 2√/x (D) y' = = 1/2 2x (E)…

A: As we know that, The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And use the common…

Q: If f(x) = and g(x) = Vx, then the derivative of f(g(x)) is -VE (A) ( + 1) (B) -(x + 1)- -2x (C) ( +…

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Q: Given f''(x) = 7x + 4 and f'(0) -2 and f(0) - 3.

A: Given that f"(x)=7x+4 and f'(0)=-2 and f(0)=-3Our Aim is to find f'(x) and f(4)=?

Q: Find h' (2) if h(x) = 1n(x + √(x2 - 1)) h'(2) =

A: Given hx=lnx+x2-1

Q: 2x+1 -2 x3 - 5x Which of the following is the derivative of f(x)= (x3 -5x)(2)- (2x+1)(3x² - 5) (x² -…

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Q: 6)(15)Calculate the followings; a)Calculate the derivative of given function y=X3* y'=? f(1)=?…

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Q: r(x)=f(g(h(x)))，h(1)=2, g(2)=3 h'(1)=4, g'(2)=5, f'(3)=6, r'(1)=?

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Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: 3. f(t) = -2t2 + 3t – 6 6. h(s) = s4/5 1 +1 9. h(t) = 1* + 21 + 2

A: To find the derivative of f(t)=-2t2+3t-6, use the power rule of differentiation, ddttn=ntn-1.

Q: We have an unknown function f(x) which satisfies    f''(x) + f'(x) -2f(x) = x2 The first term is the…

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: h(x)=(ax+b)/c h’(x)=?

A: The given function for which the derivative is to be found is,

Q: f''(x) = 2x + 2 and f'( – 2) = 2 and f(– 2) = 3. Find f'(x) = and find f(2)

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Q: If '(3) = -1 and h'(1) = 5, then "(r)dr= (A) -6 (B) 4 (C) 5 (D) 6 (E) 9 (F) 11

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Q: 1. Write down the derivative of (a) y = ex (b) y = e-342x (c) y = 2e + 4e* (d) y = 10e - 2x² + 7

A: a) Given y=e6xDifferentiate w.r.t.'x'dydx=ddxe6xWe know…

Q: f(x) = (x² + 5x + 2)³ f' (x) = f'(4) = Natu

A: Use differentiation rule to calculate value

Q: If Ax) = 2x+ 1and g(x) = x, Find g0)) %3D

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Q: Given f(x)=x(2-7x+x), then the derivative is O a. 3x-f'(x)=2x²-7x O b. f'(x)=x(-7+2x) O c. f'(x)=…

A: fx=x2-7x+x2

Q: Find g' (6) given that f(6) = - 3 and f' (6) = 6. Enter the exact answers. (a) g(x) = 7x² – 6f (x)…

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Q: - 3. Use product rule to find the derivative of the following fur (a) f(x) = 3e5. ln(2x² − 3x +π).…

A: according to bartleby guide line we supposed to do only first part of multiple questions. (a)  given…

Q: If f(x)=5x-1, g(0)=2, g'(0)=4, and h(x)=f(g(x)), then what is h'(0)?

A: Given that h(x)=f(g(x)) Using chain rule we get: h'(x)= f'(g(x))g'(x) We plug x=0 So, h'(0)=…

Q: Given f''(x) = 6x + 5 and f'(0) = 6 and f(0) Find f'(x) and find f(3) = = = - 6.

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Q: 9x Find the derivative of the function f(x)=In x2+15 2x O f'(x)= x²+15 15-x2 f"(x)= x2+15 2x O…

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Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: Find f(x) such that f'(x) = 6x² − 6x and f(2) = 10. f(x) =

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Q: Find g' (4) given thatf(4) = - 5 and f'(4) = 10. Enter the exact answers. (a) g(x) = 5x – 4f(x) g'…

A: (a) The function is g(x)=5x2-4f(x)  f(4) = -5 and f '(4) = 10

Q: _y'(x) = y = (x³ + 2)²(x²+4)*

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Q: Calculate the first, second, and third derivatives of 3 y(x) = %3D 28 + x (Use symbolic notation and…

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