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Ch11 then Ch12 basic Flashcards | StudBud

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What is the derivative of f(x) = (x^2 + 3x)(x^3 + 1)?

What is the derivative of f(x) = \frac{x^2 + 2}{x + 1}?

Ch11 then Ch12 basic

7 terms·StudBud Administration·25 plays

Put your calculus skills to the test with these questions on finding derivatives of various functions. From polynomial to exponential functions, this quiz covers a range of differentiation techniques.

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Questions 7

Answers

1
What is the derivative of f(x) = \frac{x^2 + 2}{x + 1}?
\frac{2x - 1}{x^2 + 1}
\frac{(x^2 + 2)(x + 1)}{x^2}
\frac{2x - (x^2 + 2)}{x + 1}
\frac{(2x)(x + 1) - (x^2 + 2)}{(x + 1)^2}
2
What is the derivative of f(x) = (x^2 + 3x)(x^3 + 1)?
(2x+3)(3x^2)
(2x + 3)(x^3 + 1) + (3x^2)(x^2 + x)
5x^4 + 9x^3 + 3x^2 + 3
(2x+3)(x^3+1)+(x^2+3x)(3x^2)
3
What is the derivative of f(x) = 2^x?
2^x
x 2^x
2^x + 1
2^x \ln(2)
4
What is the derivative of f(x) = e^x?
xe^x
e^{x^2}
e^x
2e^x
5
What is the derivative of f(x) = \sqrt{x}?
\frac{1}{\sqrt{x}}
\frac{1}{2x}
\sqrt{x}
\frac{1}{2\sqrt{x}}
6
What is the derivative of f(x) = 4x^6 - 2x^3 + x - 5?
20x^5 - 5x^2 + 1
24x^5 - 6x^2 + 1
4x^5 - 6x^2 + 1
24x^6 - 6x^3 + 1
7
What is the derivative of f(x) = \ln(x)?
x \ln(x)
x
\frac{1}{x}
\ln(x)