What is the derivative of f(x)=x^2tan(x) ?

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

What is the first derivative of f(x)=x^2tan(x) ?

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

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derivative of

f (x) = x^{2} tan (x)

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

Solution steps

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

Apply the Product Rule:

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

f = x^{2}, g = tan (x)

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

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

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

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

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

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

x \to 0 lim (- 2)

\frac{d}{d x} (8 cos (3 x))

\int x I n (x) d x

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