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Derivatives Quiz

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Questions and Answers

What is the derivative of the function f(x) = 3x^2 + 4x - 2?

f'(x) = 3x^2 + 4

f'(x) = 6x - 4

f'(x) = 6x + 4 (correct)

f'(x) = 3x^3 + 2x - 2

What is the second derivative of the function g(x) = 4x^3 - 6x^2 + 2x + 1?

g''(x) = 12x^2 - 12x + 2 (correct)

g''(x) = 24x - 12

g''(x) = 12x^2 - 12x

g''(x) = 4x^2 - 6x + 2

If h(x) = e^x + ln(x), what is h'(x)?

h'(x) = e^x - 1

h'(x) = e^x + 1/x (correct)

h'(x) = e^x + 1

h'(x) = e^x - 1/x

Study Notes

What is the derivative of the function f(x) = 3x^2 + 4x - 2? What is the second derivative of the function g(x) = 4x^3 - 6x^2 + 2x + 1? If h(x) = e^x + ln(x), what is h'(x)?

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Test your knowledge of differentiation with this quiz! Practice finding derivatives of polynomial and exponential functions, as well as the second derivative of a cubic function. Sharpen your skills in finding the derivative of functions like f(x) = 3x^2 + 4x - 2 and g(x) = 4x^3 - 6x^2 + 2x + 1. Then, challenge yourself with finding the derivative of h(x) = e^x + ln(x).