What is the derivative of 5*2tan^{23}(x) ?

The derivative of 5*2tan^{23}(x) is 230tan^{22}(x)sec^2(x)

What is the first derivative of 5*2tan^{23}(x) ?

The first derivative of 5*2tan^{23}(x) is 230tan^{22}(x)sec^2(x)

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\frac{d}{d x} (5 \cdot 2 tan^{23} (x))

230 tan^{22} (x) sec^{2} (x)

Solution steps

\frac{d}{d x} (5 \cdot 2 tan^{23} (x))

Simplify

5 \cdot 2 tan^{23} (x) : 10 tan^{23} (x)

= \frac{d}{d x} (10 tan^{23} (x))

Take the constant out:

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

= 10 \frac{d}{d x} (tan^{23} (x))

Apply the chain rule:

23 (tan (x))^{22} \frac{d}{d x} (tan (x))

= 23 (tan (x))^{22} \frac{d}{d x} (tan (x))

\frac{d}{d x} (tan (x)) = sec^{2} (x)

= 10 \cdot 23 (tan (x))^{22} sec^{2} (x)

Simplify

= 230 tan^{22} (x) sec^{2} (x)

2 x - (\frac{250}{x ^{2}})

\frac{60}{( 12 + x ^{2} )}

\frac{1}{( 3 x + 2 )}

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

\frac{2}{( 2 x + 1 ) ^{2}}

What is the derivative of 5*2tan^{23}(x) ?
The derivative of 5*2tan^{23}(x) is 230tan^{22}(x)sec^2(x)
What is the first derivative of 5*2tan^{23}(x) ?
The first derivative of 5*2tan^{23}(x) is 230tan^{22}(x)sec^2(x)