Find the indicated derivative for each and simplify as much as possible. (a) F'(x) for f(x) = Of'(x) = O f'(x) = OF'(x) = Of'(x) = Of'(x) = Oh (8) = Oh'(e) = CX ex² +3 Oh'(e) 10cx +3)² (cx² O 2cx (cx² + 3)² 6cx (cx² + 3)² (b) h (8) for h(8) = sec(√e). -2cx (cx² + 3)² sec(√) tan(√) 2√6 Oh (8) = sec(√) tan (√) Oh (8) = sec² (2√) tan² (√6) 2√e 10cx (cx² + 3)² sec² (√6) 2√8 (0) ẵ arctan(21) dt = O tan(4x) 1 1+ 4x4 Assume c is a constant. O arctan(2x2) O4x arctan (2x²) O arctan(2x) – 18

Q: If f(x) = √ 8x + 3, compute the first, second, and third derivative of f(x). f'(x) = f"(x) = = f"(x)…

A:

Q: Let f(x) = radical 6 + radical 7x find f'(x) =

A: Given f(x)=6+7x We have to find f'(x)

Q: L(x) = In(x)+log,(x)

A: Used formulas : ddx(logax) = 1x ln a ln x = loge xloge e = ln e = 1ln 5 =1.61

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: Find the indicated derivative for the function. 3 f''(x) for f(x) = 8x4 - 4x³ + 5x -5 f''(x) =

A: We use two of the known properties of derivative and two commonly known derivatives       (f +…

Q: Find the derivative of C(x) C'(x) = C

A:

Q: Find the indicated derivative for the function. -2 h''(x) for h(x) = 7x2 - 6x-8 h''(x) =

A: