Question 8 Suppose f(x) =In(2r³- 5x). what is the derivative of f with respect to x? %3D 6x2-5 A f(x)= - 2r3-5x B f'(x) = %3D 2x3-5x 2r3-5x Of(x)= 6x2-5 1 f'(x) = 6x2 -5

Q: Given the equation x' = -4yf (x) + sin(y) + 1. Take the derivative for both sides of the equation…

A: Given equation is x3=-4yfx+siny+1 Product rule of differentiation states that: ddxuv=vddxu+uddxv…

Q: (b) F₂(x) = F₂'(x) = 9 4(x4 + 1)5 (d) F4(x) = F4'(x) = X 4 (c) F3(x) = (9x² + 1)5 4 F3'(x) = 9 (4x4…

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: What is the derivative of f(x) = x² +x² a +2 where a is a constant ? xa+2

A: We write f(x) using exponents f(x)=x7+x2+a+2xa+2f(x)=x7+x2+(a+2)x-(a+2)

Q: Find the derivative of f (x) = csc-1(e2x²) - 4x A 2x2 ‚4x 2 4x B 4x 2 - 1 - 4x 4x2 4х D Ve42

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Q: Find the derivative of the function. f(x) = (x³ + 8x + 6)(1+--/-)

A: Find the derivative of the function.f(x)=(x3+8x+6)(1+1x2)

Q: X x+18

A: f(x)=xx+18

Q: Determine the derivative of each function and compute and interpret f'(1) each function. (a) f(r) =…

A: Given: (a)  f(x)=6x2+3x−4(b)  f(x)=10

Q: Find the derivative of y = (4x³) (5x² − 8) ³ d = 12x² (5x² - 8) *² dy dx ○ du = (127²) (10x² - 8) +…

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Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: Question 2 $-3ar* +2pr² h(r) 4r

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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: Given f"(x) = -7x³ – 7a? + 7x + 10, f'(1) = 7, and f(1) = 5. Find f'(x) and f(x). Part 1: Find the…

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Q: 5е + 6 Find the derivative of g(x) 4x10 + 6x9

A: Formula used: Quotient rule of differentiation: ddxuv=u'×v-v'×uv2 Power rule of differentiation:…

Q: The first derivative of f(x) = e5x*-6x will be A. (6-20x)e**-6x B. (20x 6) e5x*-6x C. (6+ 20x)…

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Q: Find the derivative of the following: y = 2x* + + 3a? – 7 O y' = 8x³ + a² + 6x O y' = 8x + 2æ² + 6x…

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Q: 2 x´ + 8)(6y – 1) = 0 find the third derivative

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Q: Find the first and second derivatives of the function. f(x) = (7x² + 6)7/2 r'(M) = | 49x(7x² + 6)…

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Q: Consider the following function. f(x) = 7x 8e7 - 3e-5x 3 + 15e-5x + 9e8x Find the horizontal…

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Q: (

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Q: ļim (* +4)- ƒ(x) 3. Find the derivative of the following functions using the Show all your steps. a.…

A: f'(x)=lim(h tends to 0) {f(x+h)-f(x)}/h use this for derivative

Q: x² + 3 Find the derivative of the functionf (x) = V2x +5 3x2+10x – 13 A. f'(x) = f"(x). %3D…

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Q: 2(1-x²) (1+x²)² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x): = f(x) = find the derivative of this…

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Q: 4x5-9x2-3 Find the derivative of y= x2 Select one: O A. y' = 24x2 + 8x-3 O B. y' = 12x2 + 6x3 O C.…

A: In this question we have to find differentiation.

Q: QUESTION 16 Find the derivative. Find f'(x) for f(x) = (4x² + 3x)2. O f(x) = 64x³ + 72x² + 18x Of(x)…

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Q: What is the derivative of f (x) = 6x¯² + 8x³ + 11x + 10 + e"?

A: Given that: f(x)=6x-2+8x3+11x+10+ex