What is the derivative of (2x+5^4) ?

The derivative of (2x+5^4) is 8(2x+5)^3

What is the first derivative of (2x+5^4) ?

The first derivative of (2x+5^4) is 8(2x+5)^3

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\frac{d}{d x} ((2 x + 5)^{4})

8 (2 x + 5)^{3}

Solution steps

\frac{d}{d x} ((2 x + 5)^{4})

Apply the chain rule:

4 (2 x + 5)^{3} \frac{d}{d x} (2 x + 5)

= 4 (2 x + 5)^{3} \frac{d}{d x} (2 x + 5)

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

= 4 (2 x + 5)^{3} \cdot 2

Simplify

= 8 (2 x + 5)^{3}

\frac{5}{s ^{2} + 2 s + 5}

\frac{d}{d x} (ln (1 + 4 x^{2}))

\int_{- 1}^{3} - x^{2} d x

\frac{d}{d x} (\frac{6}{5 x ^{3}})

\int sin^{2} (\frac{x}{2}) cos (\frac{x}{2}) d x

What is the derivative of (2x+5^4) ?
The derivative of (2x+5^4) is 8(2x+5)^3
What is the first derivative of (2x+5^4) ?
The first derivative of (2x+5^4) is 8(2x+5)^3