Calculus Derivatives and Decreasing Intervals Quiz

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What is the derivative of $f(x) = -3x^2 + 7x - 15 + \frac{1}{x}$?

$f'(x) = -6x + 7 - \frac{1}{x^2}$

What is the derivative of $f(x) = (\cos(x) + 2x)(x^3 - 5)^4$?

$f'(x) = -4(\cos(x) + 2x)(x^3 - 5)^3\sin(x) + 4(\cos(x) + 2x)(x^3 - 5)^4$

What is the derivative of $f(x) = \cos(2x)x^4 + 1$?

$f'(x) = -2\sin(2x)x^4 + 4x^3$

Test your calculus skills with this quiz on finding derivatives and intervals for decreasing functions. Practice differentiating functions and identifying intervals where the function is decreasing.

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