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

The derivative of tan^4(3x^2+4) is 24xtan^3(3x^2+4)sec^2(3x^2+4)

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

The first derivative of tan^4(3x^2+4) is 24xtan^3(3x^2+4)sec^2(3x^2+4)

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derivative of

tan^{4} (3 x^{2} + 4)

24 x tan^{3} (3 x^{2} + 4) sec^{2} (3 x^{2} + 4)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (tan (3 x^{2} + 4)) = sec^{2} (3 x^{2} + 4) \cdot 6 x

= 4 (tan (3 x^{2} + 4))^{3} sec^{2} (3 x^{2} + 4) \cdot 6 x

Simplify

= 24 x tan^{3} (3 x^{2} + 4) sec^{2} (3 x^{2} + 4)

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

9 ln (x + 8)

\frac{d}{d q} (\frac{q ^{1} q ^{2}}{r ^{2}})

\frac{d}{d s} (x^{x} - 2^{s} in x)

\frac{x + 4}{x}

What is the derivative of tan^4(3x^2+4) ?
The derivative of tan^4(3x^2+4) is 24xtan^3(3x^2+4)sec^2(3x^2+4)
What is the first derivative of tan^4(3x^2+4) ?
The first derivative of tan^4(3x^2+4) is 24xtan^3(3x^2+4)sec^2(3x^2+4)