CPM Homework Help : APCALC Problem 11-112

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Home > APCALC > Chapter 11 > Lesson 11.4.1 > Problem 11-112

11-112.

Multiple Choice: If $F(x)=\int_a^xf(t)dt$ , then $\frac{d}{dx}F(3x^2)=\$

$6xf(x)$

$6xf(3x^2)$

$3x^2F(6x)$

$6x F(3x^2)$

$6x f(3t^2)$

Step 1:

$=\frac{d}{dx}\int_a^{3x^2}f(t)dt$

Step 2:

$=\frac{d}{dx}(F(3x^2)-F(a))$

Step 3:

$f(3x^2)(3x^2)^\prime-0$

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