What is the derivative of (x^2+10^6) ?

The derivative of (x^2+10^6) is 12x(x^2+10)^5

What is the first derivative of (x^2+10^6) ?

The first derivative of (x^2+10^6) is 12x(x^2+10)^5

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\frac{d}{d x} ((x^{2} + 10)^{6})

12 x (x^{2} + 10)^{5}

Solution steps

\frac{d}{d x} ((x^{2} + 10)^{6})

Apply the chain rule:

6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

= 6 (x^{2} + 10)^{5} \frac{d}{d x} (x^{2} + 10)

\frac{d}{d x} (x^{2} + 10) = 2 x

= 6 (x^{2} + 10)^{5} \cdot 2 x

Simplify

= 12 x (x^{2} + 10)^{5}

x \to 0 lim (\frac{sin ( 6 x ^{2} )}{1 - cos ( 3 x )})

\int (1 + x^{2})^{- 2} d x

(x^{6})^{^{'}}

\frac{d}{d x} (9 + x^{2})

\frac{d}{d x} (e^{x^{4} y})

What is the derivative of (x^2+10^6) ?
The derivative of (x^2+10^6) is 12x(x^2+10)^5
What is the first derivative of (x^2+10^6) ?
The first derivative of (x^2+10^6) is 12x(x^2+10)^5