What is (d^2)/(d^2t)(Ae^{-(Bx+Ct)^2}) ?

The solution to (d^2)/(d^2t)(Ae^{-(Bx+Ct)^2}) is A/(e^{(Bx+Ct)^2)t}

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simplify (d^2)/(d^2t)(Ae^{-(Bx+Ct)^2})

simplify

\frac{d ^{2}}{d ^{2} t} (A e^{- (B x + Ct)^{2}})

\frac{A}{e ^{(B x + Ct)^{2}} t}

Solution steps

\frac{d ^{2}}{d ^{2} t} (A e^{- (B x + Ct)^{2}})

Apply exponent rule:

a^{- b} = \frac{1}{a ^{b}}

= \frac{1}{e ^{(B x + Ct)^{2}}} \cdot \frac{d ^{2}}{d ^{2} t} A

Multiply fractions:

a \cdot \frac{b}{c} \cdot \frac{d}{e} = \frac{a \cdot b \cdot d}{c \cdot e}

= \frac{d ^{2} \cdot 1 \cdot A}{d ^{2} t e ^{(B x + Ct)^{2}}}

Cancel the common factor:

d^{2}

= \frac{1 \cdot A}{t e ^{(B x + Ct)^{2}}}

Multiply:

1 \cdot A = A

= \frac{A}{e ^{(B x + Ct)^{2}} t}

a + b \cdot a - b

5000 \frac{[ 1 - ( 1.04 ) ^{- 9} ]}{0.04} (1.04)^{- 3}

lo g_{3} (8) 3 a^{5}

\frac{b x + a}{b x - a}

2 e^{2 x} \cdot e^{- 2 x}

What is (d^2)/(d^2t)(Ae^{-(Bx+Ct)^2}) ?
The solution to (d^2)/(d^2t)(Ae^{-(Bx+Ct)^2}) is A/(e^{(Bx+Ct)^2)t}