What is the derivative of 6x^2sin(xtan(x)) ?

The derivative of 6x^2sin(xtan(x)) is 6(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

What is the first derivative of 6x^2sin(xtan(x)) ?

The first derivative of 6x^2sin(xtan(x)) is 6(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)

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\frac{d}{d x} (6 x^{2} sin (x) tan (x))

6 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

Solution steps

\frac{d}{d x} (6 x^{2} sin (x) tan (x))

Take the constant out:

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

= 6 \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)

= 6 (\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))

= 6 (2 x sin (x) tan (x) + sin (x) (1 + sec^{2} (x)) x^{2})

\frac{d}{d x} (\frac{1 - 2 ln ( x )}{x ^{3}})

\frac{\partial}{\partial x} (sin (2 x + y) sin (y))

\int (x + 3) (x^{2} + 6 x + 7)^{6} d x

\int \frac{sin ( 9 ln ( t ) )}{t} d t

d er i v a t i v e y = cos ((π x)^{8})

What is the derivative of 6x^2sin(xtan(x)) ?
The derivative of 6x^2sin(xtan(x)) is 6(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)
What is the first derivative of 6x^2sin(xtan(x)) ?
The first derivative of 6x^2sin(xtan(x)) is 6(2xsin(x)tan(x)+sin(x)(1+sec^2(x))x^2)