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

Calculus: Early Transcendentals
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Author:James Stewart
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Chapter1: Functions And Models
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Find the indicated derivative for each and simplify as much as possible.
(a) F'(x) for f(x) =
Of'(x) =
(c)
Of'(x) =
OF'(x) =
Of'(x) =
Of'(x) =
Oh (8) =
Oh'(8) =
Oh'(e)
CX $2
ex +3
O tan(4x)
10cx
+3)²
(b) h (8) for h(8) = sec(√e).
O
(cx²
1
1+ 4x4
2cx
(cx² + 3)²
6cx
(cx² + 3)²
1-2cx
(cx² + 3)²
2V0
Oh (8) = sec(√) tan (√)
Oh (0) = sec² (2√)
tan² (√6)
2√0
10cx
(cx² + 3)²
o arctan(22) dt =
sec(√) tan(√)
Assume c is a constant.
sec² (√)
2√8
O arctan(2x2)
O4x arctan (2x²)
O arctan(2x) – 18
Transcribed Image Text:Find the indicated derivative for each and simplify as much as possible. (a) F'(x) for f(x) = Of'(x) = (c) Of'(x) = OF'(x) = Of'(x) = Of'(x) = Oh (8) = Oh'(8) = Oh'(e) CX $2 ex +3 O tan(4x) 10cx +3)² (b) h (8) for h(8) = sec(√e). O (cx² 1 1+ 4x4 2cx (cx² + 3)² 6cx (cx² + 3)² 1-2cx (cx² + 3)² 2V0 Oh (8) = sec(√) tan (√) Oh (0) = sec² (2√) tan² (√6) 2√0 10cx (cx² + 3)² o arctan(22) dt = sec(√) tan(√) Assume c is a constant. sec² (√) 2√8 O arctan(2x2) O4x arctan (2x²) O arctan(2x) – 18
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