What is the derivative of 10*2^{-0.274x} ?

The derivative of 10*2^{-0.274x} is -0.94961…*2^{1-0.274x}

What is the first derivative of 10*2^{-0.274x} ?

The first derivative of 10*2^{-0.274x} is -0.94961…*2^{1-0.274x}

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derivative of

10 \cdot 2^{- 0.274 x}

- 0.94961 \dots \cdot 2^{1 - 0.274 x}

Solution steps

\frac{d}{d x} (10 \cdot 2^{- 0.274 x})

Simplify

10 \cdot 2^{- 0.274 x} : 5 \cdot 2^{1 - 0.274 x}

= \frac{d}{d x} (5 \cdot 2^{1 - 0.274 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 5 \frac{d}{d x} (2^{1 - 0.274 x})

Apply exponent rule:

a^{b} = e^{b l n (a)}

2^{1 - 0.274 x} = e^{(1 - 0.274 x) l n (2)}

= 5 \frac{d}{d x} (e^{(1 - 0.274 x) l n (2)})

Apply the chain rule:

e^{(1 - 0.274 x) l n (2)} \frac{d}{d x} ((1 - 0.274 x) ln (2))

= e^{(1 - 0.274 x) l n (2)} \frac{d}{d x} ((1 - 0.274 x) ln (2))

\frac{d}{d x} ((1 - 0.274 x) ln (2)) = - 0.18992 \dots

= 5 e^{(1 - 0.274 x) l n (2)} (- 0.18992 \dots)

Simplify

5 e^{(1 - 0.274 x) l n (2)} (- 0.18992 \dots) : - 0.94961 \dots \cdot 2^{1 - 0.274 x}

= - 0.94961 \dots \cdot 2^{1 - 0.274 x}

\frac{2 x}{7 - tan ( x )}

f (x) = 4 - x, x = - 2, x = 3, y = 0

y = 2 x - x^{2}, y = - 3

11 e^{- x}

\int_{2}^{3} \frac{34}{3 - x} d x

What is the derivative of 10*2^{-0.274x} ?
The derivative of 10*2^{-0.274x} is -0.94961…*2^{1-0.274x}
What is the first derivative of 10*2^{-0.274x} ?
The first derivative of 10*2^{-0.274x} is -0.94961…*2^{1-0.274x}