What is the derivative of f(x)=x^6tan(x) ?

The derivative of f(x)=x^6tan(x) is 6x^5tan(x)+sec^2(x)x^6

What is the first derivative of f(x)=x^6tan(x) ?

The first derivative of f(x)=x^6tan(x) is 6x^5tan(x)+sec^2(x)x^6

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derivative of

f (x) = x^{6} tan (x)

6 x^{5} tan (x) + sec^{2} (x) x^{6}

Solution steps

\frac{d}{d x} (x^{6} tan (x))

Apply the Product Rule:

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

f = x^{6}, g = tan (x)

= \frac{d}{d x} (x^{6}) tan (x) + \frac{d}{d x} (tan (x)) x^{6}

\frac{d}{d x} (x^{6}) = 6 x^{5}

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

= 6 x^{5} tan (x) + sec^{2} (x) x^{6}

\int \frac{1}{3 + 2 x - x ^{2}} d x

t^{2} y^{^{''}} + 10 t y^{^{'}} + 8 y = 0

- 2 sec^{2} (x) tan (x)

\frac{d}{d x} (ln (cot (x)))

x \to - 5 - lim (x^{2} + \frac{4}{x + 5})

What is the derivative of f(x)=x^6tan(x) ?
The derivative of f(x)=x^6tan(x) is 6x^5tan(x)+sec^2(x)x^6
What is the first derivative of f(x)=x^6tan(x) ?
The first derivative of f(x)=x^6tan(x) is 6x^5tan(x)+sec^2(x)x^6