What is the derivative of 20-20*2^{-x} ?

The derivative of 20-20*2^{-x} is 5ln(2)*2^{-x+2}

What is the first derivative of 20-20*2^{-x} ?

The first derivative of 20-20*2^{-x} is 5ln(2)*2^{-x+2}

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\frac{d}{d x} (20 - 20 \cdot 2^{- x})

5 ln (2) \cdot 2^{- x + 2}

Solution steps

\frac{d}{d x} (20 - 20 \cdot 2^{- x})

Simplify

20 - 20 \cdot 2^{- x} : 20 - 5 \cdot 2^{2 - x}

= \frac{d}{d x} (20 - 5 \cdot 2^{2 - x})

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (20) - \frac{d}{d x} (5 \cdot 2^{2 - x})

\frac{d}{d x} (20) = 0

\frac{d}{d x} (5 \cdot 2^{2 - x}) = - 5 ln (2) \cdot 2^{2 - x}

= 0 - (- 5 ln (2) \cdot 2^{2 - x})

Simplify

= 5 ln (2) \cdot 2^{- x + 2}

\frac{d}{d x} (A e^{5 x})

y^{^{'}} - (\frac{2}{x} y) = (\frac{y ^{3}}{x ^{3}}), y (1) = 1

sin (- 3 t)

\int cos (t) e^{- s t} d t

x \to + 0 lim (\frac{sin ( x ^{2} )}{x})

What is the derivative of 20-20*2^{-x} ?
The derivative of 20-20*2^{-x} is 5ln(2)*2^{-x+2}
What is the first derivative of 20-20*2^{-x} ?
The first derivative of 20-20*2^{-x} is 5ln(2)*2^{-x+2}