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Popular >

derivative of f(x)=tan(4x^2-3x-4)

Solution

derivative of

f (x) = tan (4 x^{2} - 3 x - 4)

Solution

sec^{2} (4 x^{2} - 3 x - 4) (8 x - 3)

Solution steps

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

Apply the chain rule:

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

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

\frac{d}{d x} (4 x^{2} - 3 x - 4) = 8 x - 3

= sec^{2} (4 x^{2} - 3 x - 4) (8 x - 3)

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

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=tan(4x^2-3x-4) ?
The derivative of f(x)=tan(4x^2-3x-4) is sec^2(4x^2-3x-4)(8x-3)
What is the first derivative of f(x)=tan(4x^2-3x-4) ?
The first derivative of f(x)=tan(4x^2-3x-4) is sec^2(4x^2-3x-4)(8x-3)