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

The derivative of f(x)=168(2x+5)^5 is 1680(2x+5)^4

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

The first derivative of f(x)=168(2x+5)^5 is 1680(2x+5)^4

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derivative of

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

1680 (2 x + 5)^{4}

Solution steps

\frac{d}{d x} (168 (2 x + 5)^{5})

Take the constant out:

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

= 168 \frac{d}{d x} ((2 x + 5)^{5})

Apply the chain rule:

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

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

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

= 168 \cdot 5 (2 x + 5)^{4} \cdot 2

Simplify

= 1680 (2 x + 5)^{4}

3 y^{^{''}} + y^{^{'}} = 0

\frac{d}{d x} (3 x^{2} - 2 x + 1)

y^{^{'}} cot (x) + y = 2

\frac{d}{d x} (\frac{sin ( 2 x )}{5 x ^{2}})

\int 6 x^{3} e^{- x^{2}} d x

What is the derivative of f(x)=168(2x+5)^5 ?
The derivative of f(x)=168(2x+5)^5 is 1680(2x+5)^4
What is the first derivative of f(x)=168(2x+5)^5 ?
The first derivative of f(x)=168(2x+5)^5 is 1680(2x+5)^4