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Popular >

derivative of 9x^3+7^x+20

Solution

derivative of

9 x^{3} + 7^{x} + 20

Solution

27 x^{2} + ln (7) \cdot 7^{x}

Solution steps

\frac{d}{d x} (9 x^{3} + 7^{x} + 20)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{3}) + \frac{d}{d x} (7^{x}) + \frac{d}{d x} (20)

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

\frac{d}{d x} (7^{x}) = 7^{x} ln (7)

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

= 27 x^{2} + 7^{x} ln (7) + 0

Simplify

= 27 x^{2} + ln (7) \cdot 7^{x}

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Frequently Asked Questions (FAQ)

What is the derivative of 9x^3+7^x+20 ?
The derivative of 9x^3+7^x+20 is 27x^2+ln(7)*7^x
What is the first derivative of 9x^3+7^x+20 ?
The first derivative of 9x^3+7^x+20 is 27x^2+ln(7)*7^x