What is the derivative of f(x)=14(2x+5)^6 ?

The derivative of f(x)=14(2x+5)^6 is 168(2x+5)^5

What is the first derivative of f(x)=14(2x+5)^6 ?

The first derivative of f(x)=14(2x+5)^6 is 168(2x+5)^5

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derivative of

f (x) = 14 (2 x + 5)^{6}

168 (2 x + 5)^{5}

Solution steps

\frac{d}{d x} (14 (2 x + 5)^{6})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 14 \frac{d}{d x} ((2 x + 5)^{6})

Apply the chain rule:

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

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

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

= 14 \cdot 6 (2 x + 5)^{5} \cdot 2

Simplify

= 168 (2 x + 5)^{5}

\frac{\partial}{\partial y} (\frac{y ^{3}}{x})

t^{8} cos (t)

t^{2} \cdot e^{-, at}

f (x) = x (4 - x)^{3}, at x = 2

f (t) = 3 sin (4 t) - 2 e^{2 t}

What is the derivative of f(x)=14(2x+5)^6 ?
The derivative of f(x)=14(2x+5)^6 is 168(2x+5)^5
What is the first derivative of f(x)=14(2x+5)^6 ?
The first derivative of f(x)=14(2x+5)^6 is 168(2x+5)^5