![\displaystyle \frac{d}{dx} [cf(x)] = c \cdot f'(x)](/tpl/images/1049/8668/4bc1d.png)
![\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](/tpl/images/1049/8668/fb0e0.png)
![\displaystyle \frac{d}{dx}[\int\limits^x_a {f(t)} \, dt] = f(x)](/tpl/images/1049/8668/3819f.png)
![\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot \frac{d}{dx}[3x]](/tpl/images/1049/8668/4801a.png)
Rewrite [Derivative Property - Multiplied Constant]: ![\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3\frac{d}{dx}[x]](/tpl/images/1049/8668/48ce1.png)
Basic Power Rule: ![\displaystyle F'(x) = \frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt] \cdot 3x^{1 - 1}](/tpl/images/1049/8668/9e696.png)
Simplify: ![\displaystyle F'(x) = 3\frac{d}{dx}[\int\limits^{3x}_{-2} {sin(t)} \, dt]](/tpl/images/1049/8668/c8a0a.png)
Integration Rule [Fundamental Theorem of Calculus 2]: 
True or False.
If
F(x) = ∫ -23x sin(t) dt
then the second fundamental theorem...
Mathematics, 20.01.2021 23:30, aprilreneeclaroxob0c
True or False.
If
F(x) = ∫ -23x sin(t) dt
then the second fundamental theorem of calculus can be used to evaluate F '(x) as follows
F '(x) = sin (3x)
Answers: 1
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