What is the derivative of f(x)=tan((3pi)/4 x) ?

The derivative of f(x)=tan((3pi)/4 x) is sec^2((3pix)/4)(3pi)/4

What is the first derivative of f(x)=tan((3pi)/4 x) ?

The first derivative of f(x)=tan((3pi)/4 x) is sec^2((3pix)/4)(3pi)/4

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derivative of

f (x) = tan (\frac{3 π}{4} x)

sec^{2} (\frac{3 π x}{4}) \frac{3 π}{4}

Solution steps

\frac{d}{d x} (tan (\frac{3 π}{4} x))

Simplify

tan (\frac{3 π}{4} x) : tan (\frac{3 π x}{4})

= \frac{d}{d x} (tan (\frac{3 π x}{4}))

Apply the chain rule:

sec^{2} (\frac{3 π x}{4}) \frac{d}{d x} (\frac{3 π x}{4})

= sec^{2} (\frac{3 π x}{4}) \frac{d}{d x} (\frac{3 π x}{4})

\frac{d}{d x} (\frac{3 π x}{4}) = \frac{3 π}{4}

= sec^{2} (\frac{3 π x}{4}) \frac{3 π}{4}

What is the derivative of f(x)=tan((3pi)/4 x) ?
The derivative of f(x)=tan((3pi)/4 x) is sec^2((3pix)/4)(3pi)/4
What is the first derivative of f(x)=tan((3pi)/4 x) ?
The first derivative of f(x)=tan((3pi)/4 x) is sec^2((3pix)/4)(3pi)/4