Derivative, Integral, and Limit Problems

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4 Questions

What is the derivative of the function $f(x) = 3x^2 + 5x$?

$6x + 5$

What is the integral of the function $g(x) = 4x^3 + 2x^2 - 3x$?

$x^4 + \frac{2}{3}x^3 - \frac{3}{2}x^2 + C$

What is the limit of the function $h(x) = \frac{x^2 - 9}{x - 3}$ as $x$ approaches 3?

$6$

What is the value of $\int_0^1 x^2 ,dx$?

$\frac{1}{3}$

Test your knowledge of derivatives, integrals, and limits with these practice problems. Solve for the derivative of a given function, find the integral of a function, and determine the limit of a function as it approaches a specific value.

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