What is the derivative of x^{128}-15sin(x) ?

The derivative of x^{128}-15sin(x) is 128x^{127}-15cos(x)

What is the first derivative of x^{128}-15sin(x) ?

The first derivative of x^{128}-15sin(x) is 128x^{127}-15cos(x)

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derivative of

x^{128} - 15 sin (x)

128 x^{127} - 15 cos (x)

Solution steps

\frac{d}{d x} (x^{128} - 15 sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{128}) - \frac{d}{d x} (15 sin (x))

\frac{d}{d x} (x^{128}) = 128 x^{127}

\frac{d}{d x} (15 sin (x)) = 15 cos (x)

= 128 x^{127} - 15 cos (x)

What is the derivative of x^{128}-15sin(x) ?
The derivative of x^{128}-15sin(x) is 128x^{127}-15cos(x)
What is the first derivative of x^{128}-15sin(x) ?
The first derivative of x^{128}-15sin(x) is 128x^{127}-15cos(x)