What is the derivative of x^5tan(x) ?

The derivative of x^5tan(x) is 5x^4tan(x)+sec^2(x)x^5

What is the first derivative of x^5tan(x) ?

The first derivative of x^5tan(x) is 5x^4tan(x)+sec^2(x)x^5

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

5 x^{4} tan (x) + sec^{2} (x) x^{5}

Solution steps

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

Apply the Product Rule:

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

f = x^{5}, g = tan (x)

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

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

= 5 x^{4} tan (x) + sec^{2} (x) x^{5}

n = 1 \sum \infty \frac{1}{n 3 ^{n}} x^{n}

\frac{d y}{d x} = e^{3 x + 2 y}

t^{2} y^{^{''}} + 3 t y^{^{'}} - 24 y = 0

f (t) = 3 t^{2}

\frac{\partial}{\partial y} (2 x^{4} y - 2)

What is the derivative of x^5tan(x) ?
The derivative of x^5tan(x) is 5x^4tan(x)+sec^2(x)x^5
What is the first derivative of x^5tan(x) ?
The first derivative of x^5tan(x) is 5x^4tan(x)+sec^2(x)x^5