What is the derivative of 5x-sin^2(4x) ?

The derivative of 5x-sin^2(4x) is 5-4sin(8x)

What is the first derivative of 5x-sin^2(4x) ?

The first derivative of 5x-sin^2(4x) is 5-4sin(8x)

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\frac{d}{d x} (5 x - sin^{2} (4 x))

5 - 4 sin (8 x)

Solution steps

\frac{d}{d x} (5 x - sin^{2} (4 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x) - \frac{d}{d x} (sin^{2} (4 x))

\frac{d}{d x} (5 x) = 5

\frac{d}{d x} (sin^{2} (4 x)) = 4 sin (8 x)

= 5 - 4 sin (8 x)

\frac{d y}{d x} = 1 + x + y + x y

\frac{d}{d x} ((- 4 x^{2} + 25)^{2})

(- 1, 1), (5, - 1)

\frac{d}{d x} (e^{g (x)})

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

What is the derivative of 5x-sin^2(4x) ?
The derivative of 5x-sin^2(4x) is 5-4sin(8x)
What is the first derivative of 5x-sin^2(4x) ?
The first derivative of 5x-sin^2(4x) is 5-4sin(8x)