What is the derivative of (4x-7^3) ?

The derivative of (4x-7^3) is 12(4x-7)^2

What is the first derivative of (4x-7^3) ?

The first derivative of (4x-7^3) is 12(4x-7)^2

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\frac{d}{d x} ((4 x - 7)^{3})

12 (4 x - 7)^{2}

Solution steps

\frac{d}{d x} ((4 x - 7)^{3})

Apply the chain rule:

3 (4 x - 7)^{2} \frac{d}{d x} (4 x - 7)

= 3 (4 x - 7)^{2} \frac{d}{d x} (4 x - 7)

\frac{d}{d x} (4 x - 7) = 4

= 3 (4 x - 7)^{2} \cdot 4

Simplify

= 12 (4 x - 7)^{2}

\frac{d}{d x} (a x^{2} e^{- 5 x})

\int_{- π}^{π} x cos (n x) d x

\int \frac{5 e ^{\frac{6}{x ^{4}}}}{x ^{5}} d x

\frac{\partial}{\partial y} (y + sin (\frac{x}{y}))

y = \frac{∣ x ∣}{2 - x ^{2}}, (1, 1)

What is the derivative of (4x-7^3) ?
The derivative of (4x-7^3) is 12(4x-7)^2
What is the first derivative of (4x-7^3) ?
The first derivative of (4x-7^3) is 12(4x-7)^2