Video Set Introduction

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Before watching the videos, think about and answer these questions to the best of your ability.

Compute the derivative to each of the following functions:

$f(x) = (3x-2)(2x+1)$

$(3x)(2x)$ $(3)(2)+(3x-2)(2x+1)$ $(3)(2x+1)+(3x-2)(2)$ $(3)(2)$

$f(x) = x e^x$

$e^x$ $x e^x$ $e^x+xe^x$

$f(x) = 2x \sin (x)$

$2 \sin (x) + 2x \cos (x)$ $2x \sin (x) + 2x \cos (x)$ $2 \cos (x) + 2x \sin (x)$ $2 \cos (x)$ $2 \sin (x) + 2 \cos (x)$

$f(x) = x^3 3^x$

$3x^2 3^x + x^3 3^x \ln (3)$ $3x^2 3^x \ln (3)$ $3x^2 + 3^x \ln (3)$ $3x^2 3^x \ln (3) + x^3 3^x$