What is the derivative of tan^4(2x-1^3) ?

The derivative of tan^4(2x-1^3) is 24tan^{11}(2x-1)sec^2(2x-1)

What is the first derivative of tan^4(2x-1^3) ?

The first derivative of tan^4(2x-1^3) is 24tan^{11}(2x-1)sec^2(2x-1)

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\frac{d}{d x} (tan^{4} (2 x - 1)^{3})

24 tan^{11} (2 x - 1) sec^{2} (2 x - 1)

Solution steps

\frac{d}{d x} ((tan^{4} (2 x - 1))^{3})

Simplify

(tan^{4} (2 x - 1))^{3} : tan^{12} (2 x - 1)

= \frac{d}{d x} (tan^{12} (2 x - 1))

Apply the chain rule:

12 (tan (2 x - 1))^{11} \frac{d}{d x} (tan (2 x - 1))

= 12 (tan (2 x - 1))^{11} \frac{d}{d x} (tan (2 x - 1))

\frac{d}{d x} (tan (2 x - 1)) = sec^{2} (2 x - 1) \cdot 2

= 12 (tan (2 x - 1))^{11} sec^{2} (2 x - 1) \cdot 2

Simplify

= 24 tan^{11} (2 x - 1) sec^{2} (2 x - 1)

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

\frac{\partial}{\partial t} (r t)

f (x) = - x^{2} + 4 x + 2, g (x) = x + 2

10 x + 2

n = 0 \sum \infty c n x^{n}

What is the derivative of tan^4(2x-1^3) ?
The derivative of tan^4(2x-1^3) is 24tan^{11}(2x-1)sec^2(2x-1)
What is the first derivative of tan^4(2x-1^3) ?
The first derivative of tan^4(2x-1^3) is 24tan^{11}(2x-1)sec^2(2x-1)