(a) Using the definition, calculate the derivative of t f(x)=(x-1)° +1

Q: U₁₂ 4; 6; -3 3 2 u = x 2² - sin (x²-sy) + / ln (x²452) 2

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Q: Find the derivative of each function. y = 5- cscx h(x) = 2x tan(x) sine cot x g(x) : f(x) = y = 5x…

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Q: sin(3u) 4u

A: Given; Integration of x9sin(3u)/(4u) limit from x5 to x6.

Q: 2. y = sec- (6a2 –- 3x + 2) 3. y = (8x – 6) sin (8x – 6) 4. y = cos- (8x - 4)

A: As per the guidelines, I can solve only first 3 parts. Kindly repost for remaining parts

Q: 29. f(x) os(1/x)

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Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: 1. у 3 8 arcsin x V16 x2 4 |

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Q: Use the formula  to find the derivative of the function

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Q: Compute for f '(3) using the limit definition of derivative if f(x) - 6x²

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Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: 7. f(x)= (4x²-3x5)7

A:

Q: 3. ソ=eCosx

A: To find the derivative: y=ecosx Solution: y=ecosx On differentiating both sides w.r.t x we get:…

Q: 4x2 – 2 8х — 4 f(x) = f'(x) =- (х — 1)2 (х — 1)3

A: Given the function fx=4x2-2x-12 Domain of the function:- y=4x2-2x-12 x-1=0⇒ x=1 Domain x≠1 So,…