What is the derivative of f(x)=7tan(x^4) ?

The derivative of f(x)=7tan(x^4) is 28x^3sec^2(x^4)

What is the first derivative of f(x)=7tan(x^4) ?

The first derivative of f(x)=7tan(x^4) is 28x^3sec^2(x^4)

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derivative of

f (x) = 7 tan (x^{4})

28 x^{3} sec^{2} (x^{4})

Solution steps

\frac{d}{d x} (7 tan (x^{4}))

Take the constant out:

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

= 7 \frac{d}{d x} (tan (x^{4}))

Apply the chain rule:

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

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

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

= 7 sec^{2} (x^{4}) \cdot 4 x^{3}

Simplify

= 28 x^{3} sec^{2} (x^{4})

What is the derivative of f(x)=7tan(x^4) ?
The derivative of f(x)=7tan(x^4) is 28x^3sec^2(x^4)
What is the first derivative of f(x)=7tan(x^4) ?
The first derivative of f(x)=7tan(x^4) is 28x^3sec^2(x^4)