What is the derivative of 6cos(x)+3sin^2(x) ?

The derivative of 6cos(x)+3sin^2(x) is -6sin(x)+3sin(2x)

What is the first derivative of 6cos(x)+3sin^2(x) ?

The first derivative of 6cos(x)+3sin^2(x) is -6sin(x)+3sin(2x)

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derivative of

6 cos (x) + 3 sin^{2} (x)

- 6 sin (x) + 3 sin (2 x)

Solution steps

\frac{d}{d x} (6 cos (x) + 3 sin^{2} (x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (6 cos (x)) + \frac{d}{d x} (3 sin^{2} (x))

\frac{d}{d x} (6 cos (x)) = - 6 sin (x)

\frac{d}{d x} (3 sin^{2} (x)) = 3 sin (2 x)

= - 6 sin (x) + 3 sin (2 x)

\frac{d}{d x} (\frac{1}{2 x})

\frac{d}{d x} (2 x + x)

\frac{d}{d x} (x^{4} - 4 x^{2})

\frac{d y}{d t} + e^{t} y = 9 e^{t}

\frac{d y}{d x} = 6 y^{2} x

What is the derivative of 6cos(x)+3sin^2(x) ?
The derivative of 6cos(x)+3sin^2(x) is -6sin(x)+3sin(2x)
What is the first derivative of 6cos(x)+3sin^2(x) ?
The first derivative of 6cos(x)+3sin^2(x) is -6sin(x)+3sin(2x)