Chapter 8 Calc Review (Logarithms and exponentials)

Review of Derivatives and Integrals involving logarithmic and exponential functions (chain rule also included) #calculus #derivatives #integrals #logarithms #exponentials

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Questions 5

Answers

1
Find the derivative: y = 2^x· ln x
y' = 2xlnx + (ln2)2xlnx
y' = 2x/x + 2xlnx
y' = (ln 2)2x / x
y' = 2x/x + (ln2)2xlnx
2
Find the area bounded by the following euquations: f(x) = x³(5^{-x^4}), y = 0, x = 0, x = 4
0.25
64.0387
0.1553
-0.1335
3
Find the integral: ∫ 7^3xdx
(73x / 3ln7) + C
(73x / ln7) +C
(7x / 3ln7) +C
(73x / 3) +C
4
Find the integral: ∫ (6x⁴- 14x³+ 4x)/(2x²) dx
6x - 7 + (2/x2) + C
x3 - (7/2)x2 + 2lnx + C
x3 - (7/2)x2 + 2lnx
(6/5)x5- (7/2)x4 + 2x2
5
Find the integral: ∫ e^{4x^6}x⁵dx
(1/6)e4x^6 x6 + C
(1/24)e4x^6 + C
(1/5)e4x^6 + C
(1/24)e4x^6

Chapter 8 Calc Review (Logarithms and exponentials)

5 termsStudBud Administration35 plays

Review of Derivatives and Integrals involving logarithmic and exponential functions (chain rule also included) #calculus #derivatives #integrals #logarithms #exponentials

Flashcards5 cardsFPractice quizPHost liveL

Questions 5

Answers

1
Find the derivative: y = 2^x· ln x
y' = 2xlnx + (ln2)2xlnx
y' = 2x/x + 2xlnx
y' = (ln 2)2x / x
y' = 2x/x + (ln2)2xlnx
2
Find the area bounded by the following euquations: f(x) = x³(5^{-x^4}), y = 0, x = 0, x = 4
0.25
64.0387
0.1553
-0.1335
3
Find the integral: ∫ 7^3xdx
(73x / 3ln7) + C
(73x / ln7) +C
(7x / 3ln7) +C
(73x / 3) +C
4
Find the integral: ∫ (6x⁴- 14x³+ 4x)/(2x²) dx
6x - 7 + (2/x2) + C
x3 - (7/2)x2 + 2lnx + C
x3 - (7/2)x2 + 2lnx
(6/5)x5- (7/2)x4 + 2x2
5
Find the integral: ∫ e^{4x^6}x⁵dx
(1/6)e4x^6 x6 + C
(1/24)e4x^6 + C
(1/5)e4x^6 + C
(1/24)e4x^6