What is the derivative of f(x)=1.5e^{0.76x} ?

The derivative of f(x)=1.5e^{0.76x} is 1.14e^{0.76x}

What is the first derivative of f(x)=1.5e^{0.76x} ?

The first derivative of f(x)=1.5e^{0.76x} is 1.14e^{0.76x}

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derivative of

f (x) = 1.5 e^{0.76 x}

1.14 e^{0.76 x}

Solution steps

\frac{d}{d x} (1.5 e^{0.76 x})

Take the constant out:

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

= 1.5 \frac{d}{d x} (e^{0.76 x})

Apply the chain rule:

e^{0.76 x} \frac{d}{d x} (0.76 x)

= e^{0.76 x} \frac{d}{d x} (0.76 x)

\frac{d}{d x} (0.76 x) = 0.76

= 1.5 e^{0.76 x} \cdot 0.76

Simplify

= 1.14 e^{0.76 x}

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What is the derivative of f(x)=1.5e^{0.76x} ?
The derivative of f(x)=1.5e^{0.76x} is 1.14e^{0.76x}
What is the first derivative of f(x)=1.5e^{0.76x} ?
The first derivative of f(x)=1.5e^{0.76x} is 1.14e^{0.76x}