What is the derivative of (3x+5^7) ?

The derivative of (3x+5^7) is 21(3x+5)^6

What is the first derivative of (3x+5^7) ?

The first derivative of (3x+5^7) is 21(3x+5)^6

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\frac{d}{d x} ((3 x + 5)^{7})

21 (3 x + 5)^{6}

Solution steps

\frac{d}{d x} ((3 x + 5)^{7})

Apply the chain rule:

7 (3 x + 5)^{6} \frac{d}{d x} (3 x + 5)

= 7 (3 x + 5)^{6} \frac{d}{d x} (3 x + 5)

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

= 7 (3 x + 5)^{6} \cdot 3

Simplify

= 21 (3 x + 5)^{6}

\int_{- 1}^{0} (2 x - e^{x}) d x

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

\int - 2 sin (2 x + 5) d x

\frac{\partial}{\partial y} (x y^{2} z^{2})

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

What is the derivative of (3x+5^7) ?
The derivative of (3x+5^7) is 21(3x+5)^6
What is the first derivative of (3x+5^7) ?
The first derivative of (3x+5^7) is 21(3x+5)^6