QUESTION 4 State the general anti-derivative of f(x) = -√x F(x) = - 5 x² +C 3 ○ F(x) = -√√x³+C x ) = − 1 1/2 √ √x + C - 4 F(x) = 3 F(x) = 2√x³ + C

Q: (1) A course repeater claims that his brother who did some Calculus at college years ago, but…

A: Given: fx=2x−1x2+3x2+1, and gx=x2+872−3x25 To check whether: f'x=4x2x2−1+2xx2+3−2xx2+12x2−1x2+3x2+1,…

Q: Find the derivative

A: find the derivative of the given

Q: b. f(x) = (x³ + 2x² + 4) (x 4 − 3) c. f(x) = = 3x²-6x+7 4x-1 d. f(x) = (4x³- 7x)7 -

A: To find the derivative of each of the following functions.

Q: if you know that f(x)=g(x)+3x and g(4)=6 ,f'(4)=-3, so find me the derivative multiplication for…

A: We have to find derivative multiplication of the given functions

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

A:

Q: If f(x) - g(x) = 1, then f and g have the same derivative. O True O False

A:

Q: Find the derivative of f(x) = x2√(1 − x2)

A: Given:

Q: Find the third derivative of y3= A 1/2 B -5/2 15 D -1 8

A:

Q: Find the derivative of the following functions a) f(x) = 1 + x² + = 160 1x x6 I b) F(X) x4-3x+1 √x…

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Q: a) f(x) = x28 + e-x 2x + 13 b) h(x) = e³x³-4x²+2 + 5ln(x³3 -x+ eⓇx) c) y = x²2 (12x³ - 25x) 42

A:

Q: 3 (d) h (x) = 3x² – 4x2 + 2 | (e) ƒ (x) = x5 – xª + x³ – x² + x – 1 - | (f) ƒ (x) = x6+x5+x4 – a³ –…

A: Here we have to find  The derivative of the given functions d)…

Q: Find the derivative of y sin ¹(3x) x sin ¹(3x)-3x√1-9x²-9x² sin ¹(3x) x² (1-9x²) sin…

A:

Q: #1 Find the second derivative of each function 4x+2 a. a. f(x) Зх-6

A: First calculate 1st derivative of f(x) and g(t). Apply  d/dx of (u/v) in problem a. and chain rule…

Q: Calculate the derivative of the function. 8x +5 s(x) = 2x – 6, s' (x) = = -6 8x+5 48 2х-6 (2х-6)2 5…

A: We have to find derivative of the function.

Q: 8) Find the derivative of the function f(x) = (2x-1 x² + 1 if x ≤0 if x>0

A: Step 1:   Step 2: Step 3: Step 4:

Q: 4х + 1 f(x) = 2 – 5x2

A:

Q: From a function f(x) = 5000 x2 - 7000x + 12000   Find the first and second derivatives

A: dxndx = nxn-1 dcfxdx = c df(x)dx ; where 'c' is constant.

Q: 1-² √√5-3x 2. Find the derivative of order two of the function h(x)=- and simplify completely your…

A:

Q: (b) g(x):= 1/x for x E R, x#0, (d) k(x):= 1//x for x > 0.

A:

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: a) A function is given below with unknown coefficients B and C: f(x) = x³ - 6x² + Bx + C i) Find the…

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Q: Question 12 Find the derivative. f(x) = (4x - 1)(4x² + 1) f(x) - 96x² + 132x² - 24x + 15…

A: f(x)=(4x-1)(4x2+1)3x+3f(x)=16x3+4x-4x2-13x+3f(x)=16x3-4x2+4x-13x+3d dx(xn)=nxn-1

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

Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

A: