What is the derivative of (5x^2+e^6) ?

The derivative of (5x^2+e^6) is 60x(5x^2+e)^5

What is the first derivative of (5x^2+e^6) ?

The first derivative of (5x^2+e^6) is 60x(5x^2+e)^5

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

60 x (5 x^{2} + e)^{5}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 60 x (5 x^{2} + e)^{5}

n = 3 \sum \infty x^{n}

\frac{d}{d x} (\frac{6}{x} + \frac{x}{6})

\int 10 csc^{2} (x) d x

\frac{d}{d x} (16 (x + 2)^{3})

y = sin (x), y = cos (x)

What is the derivative of (5x^2+e^6) ?
The derivative of (5x^2+e^6) is 60x(5x^2+e)^5
What is the first derivative of (5x^2+e^6) ?
The first derivative of (5x^2+e^6) is 60x(5x^2+e)^5