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

The derivative of (x-3x^4tan(x)) is (1-12x^3)tan(x)+sec^2(x)(x-3x^4)

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

The first derivative of (x-3x^4tan(x)) is (1-12x^3)tan(x)+sec^2(x)(x-3x^4)

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

(1 - 12 x^{3}) tan (x) + sec^{2} (x) (x - 3 x^{4})

Solution steps

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

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

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

\frac{d}{d x} (x - 3 x^{4}) = 1 - 12 x^{3}

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

= (1 - 12 x^{3}) tan (x) + sec^{2} (x) (x - 3 x^{4})

3 ln (5 x)

\frac{d y}{d x} = x \cdot 1 - y^{2}

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

\int n^{- 3}

y = \frac{e ^{4 x^{2}} + 1}{8}

What is the derivative of (x-3x^4tan(x)) ?
The derivative of (x-3x^4tan(x)) is (1-12x^3)tan(x)+sec^2(x)(x-3x^4)
What is the first derivative of (x-3x^4tan(x)) ?
The first derivative of (x-3x^4tan(x)) is (1-12x^3)tan(x)+sec^2(x)(x-3x^4)