What is (d^2)/(dx^2)(tan(5x+2)) ?

The answer to (d^2)/(dx^2)(tan(5x+2)) is 50sec^2(5x+2)tan(5x+2)

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(d^2)/(dx^2)(tan(5x+2))

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

50 sec^{2} (5 x + 2) tan (5 x + 2)

Solution steps

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

\frac{d}{d x} (tan (5 x + 2)) = sec^{2} (5 x + 2) \cdot 5

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

\frac{d}{d x} (sec^{2} (5 x + 2) \cdot 5) = 50 sec^{2} (5 x + 2) tan (5 x + 2)

= 50 sec^{2} (5 x + 2) tan (5 x + 2)

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What is (d^2)/(dx^2)(tan(5x+2)) ?
The answer to (d^2)/(dx^2)(tan(5x+2)) is 50sec^2(5x+2)tan(5x+2)