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Popular >

derivative of x^3(5.4^x)

Solution

\frac{d}{d x} (x^{3} (5.4)^{x})

Solution

3 x^{2} \cdot 5. 4^{x} + 1.68639 \dots \cdot 5. 4^{x} x^{3}

Solution steps

\frac{d}{d x} (x^{3} (5.4)^{x})

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x^{3}, g = 5. 4^{x}

= \frac{d}{d x} (x^{3}) 5. 4^{x} + \frac{d}{d x} (5. 4^{x}) x^{3}

\frac{d}{d x} (x^{3}) = 3 x^{2}

\frac{d}{d x} (5. 4^{x}) = 1.68639 \dots \cdot 5. 4^{x}

= 3 x^{2} \cdot 5. 4^{x} + 1.68639 \dots \cdot 5. 4^{x} x^{3}

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of x^3(5.4^x) ?
The derivative of x^3(5.4^x) is 3x^2*5.4^x+1.68639…*5.4^xx^3
What is the first derivative of x^3(5.4^x) ?
The first derivative of x^3(5.4^x) is 3x^2*5.4^x+1.68639…*5.4^xx^3