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

The derivative of 2x^2sin(x)tan(x) is 2(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

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

The first derivative of 2x^2sin(x)tan(x) is 2(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

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derivative of

2 x^{2} sin (x) tan (x)

2 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

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

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

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

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

\frac{d}{d x} (sin (x) tan (x)) = sin (x) (1 + sec^{2} (x))

= 2 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

cos (- 10 x)

\int x \cdot tan (x) d x

\frac{\partial}{\partial x} (\frac{x}{1 + x})

3 (x)^{2} + 8 (x) + 12

x \to 2 lim (\frac{x}{x ^{2} + 1})

What is the derivative of 2x^2sin(x)tan(x) ?
The derivative of 2x^2sin(x)tan(x) is 2(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)
What is the first derivative of 2x^2sin(x)tan(x) ?
The first derivative of 2x^2sin(x)tan(x) is 2(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)