What is the derivative of 10sin^2(x) ?

The derivative of 10sin^2(x) is 20sin(x)cos(x)

What is the first derivative of 10sin^2(x) ?

The first derivative of 10sin^2(x) is 20sin(x)cos(x)

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\frac{d}{d x} (10 sin^{2} (x))

20 sin (x) cos (x)

Solution steps

\frac{d}{d x} (10 sin^{2} (x))

Take the constant out:

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

= 10 \frac{d}{d x} (sin^{2} (x))

Apply the chain rule:

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

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

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

= 10 \cdot 2 sin (x) cos (x)

Simplify

= 20 sin (x) cos (x)

\int sec (\frac{π}{4} - 2 x) d x

x \to 3 + lim (x - 2)

f (x) = 5 x^{2}, at x = 10

\frac{d ^{3}}{d x ^{3}} (tan (x))

y^{^{''}} + y^{^{'}} = sin (t), y (0) = 1, y^{^{'}} (0) = 2

What is the derivative of 10sin^2(x) ?
The derivative of 10sin^2(x) is 20sin(x)cos(x)
What is the first derivative of 10sin^2(x) ?
The first derivative of 10sin^2(x) is 20sin(x)cos(x)