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}

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

\int_{0}^{1} \frac{4}{x ^{2} + 1} d x

\int e^{s i n (y)} d y

\int \frac{t ^{3} - 1}{2 t - 2} d t

d er i v a t i v e 5 x^{4} (3 x - 7)

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