What is the derivative of f(x)=(5x+4)^3 ?

The derivative of f(x)=(5x+4)^3 is 15(5x+4)^2

What is the first derivative of f(x)=(5x+4)^3 ?

The first derivative of f(x)=(5x+4)^3 is 15(5x+4)^2

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derivative of

f (x) = (5 x + 4)^{3}

15 (5 x + 4)^{2}

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

= 15 (5 x + 4)^{2}

\frac{x cos ( x ) - sin ( x )}{7 x ^{2}}

\frac{d}{d x} (x^{3} - 6 x^{2} + 9 x + 4)

\int_{0}^{5} \frac{1}{u ^{2} - 25} d u

y = 4 cos (x), (\frac{π}{3}, 2)

What is the derivative of f(x)=(5x+4)^3 ?
The derivative of f(x)=(5x+4)^3 is 15(5x+4)^2
What is the first derivative of f(x)=(5x+4)^3 ?
The first derivative of f(x)=(5x+4)^3 is 15(5x+4)^2