rivatives Section 3.13: Logarithmic Differentiation 3.13 Logarithmic Differentiation For problems 1 - 6 use logarithmic differentiation to find the first derivative of the given func- tion. 1. h(x) = r³ cos (3x) (6+3x²)4 2. f (w)=√4+2w 9w2 7w+2w3w5 (1+72)3 3. h (z) = (2+3x+422)4 1 + sin (2x) 4. g(x) = 2x-tan (a) (9 - 3t) 10 5. h(t) = t² sin (7t) 3+8x cos (1x) 6. y= (1+2x2) (5x+x²)7 For problems 7 - 10 find the first derivative of the given function. 7. y=x In(x) 8. R(t)= [sin (4t)]6t 9. h (w) = (6-2)+8+3 10. g (2) = 23+ 211-22
rivatives Section 3.13: Logarithmic Differentiation 3.13 Logarithmic Differentiation For problems 1 - 6 use logarithmic differentiation to find the first derivative of the given func- tion. 1. h(x) = r³ cos (3x) (6+3x²)4 2. f (w)=√4+2w 9w2 7w+2w3w5 (1+72)3 3. h (z) = (2+3x+422)4 1 + sin (2x) 4. g(x) = 2x-tan (a) (9 - 3t) 10 5. h(t) = t² sin (7t) 3+8x cos (1x) 6. y= (1+2x2) (5x+x²)7 For problems 7 - 10 find the first derivative of the given function. 7. y=x In(x) 8. R(t)= [sin (4t)]6t 9. h (w) = (6-2)+8+3 10. g (2) = 23+ 211-22
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![rivatives
Section 3.13: Logarithmic Differentiation
3.13 Logarithmic Differentiation
For problems 1 - 6 use logarithmic differentiation to find the first derivative of the given func-
tion.
1. h(x) = r³ cos (3x) (6+3x²)4
2. f (w)=√4+2w 9w2 7w+2w3w5
(1+72)3
3. h (z) =
(2+3x+422)4
1 + sin (2x)
4. g(x) =
2x-tan (a)
(9 - 3t) 10
5. h(t) =
t² sin (7t)
3+8x
cos (1x)
6. y=
(1+2x2)
(5x+x²)7
For problems 7 - 10 find the first derivative of the given function.
7. y=x In(x)
8. R(t)= [sin (4t)]6t
9. h (w) = (6-2)+8+3
10. g (2) = 23+ 211-22](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F505ee375-226e-4ad4-8ff5-16edc99d0b75%2F1aa56f6a-35f7-4630-a879-9f5cb3ebb501%2Fqmtax2l_processed.jpeg&w=3840&q=75)
Transcribed Image Text:rivatives
Section 3.13: Logarithmic Differentiation
3.13 Logarithmic Differentiation
For problems 1 - 6 use logarithmic differentiation to find the first derivative of the given func-
tion.
1. h(x) = r³ cos (3x) (6+3x²)4
2. f (w)=√4+2w 9w2 7w+2w3w5
(1+72)3
3. h (z) =
(2+3x+422)4
1 + sin (2x)
4. g(x) =
2x-tan (a)
(9 - 3t) 10
5. h(t) =
t² sin (7t)
3+8x
cos (1x)
6. y=
(1+2x2)
(5x+x²)7
For problems 7 - 10 find the first derivative of the given function.
7. y=x In(x)
8. R(t)= [sin (4t)]6t
9. h (w) = (6-2)+8+3
10. g (2) = 23+ 211-22
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