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

The derivative of 4cos(x-5sin(x)) is -4sin(x)-5cos(x)

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

The first derivative of 4cos(x-5sin(x)) is -4sin(x)-5cos(x)

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

- 4 sin (x) - 5 cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (4 cos (x)) = - 4 sin (x)

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

= - 4 sin (x) - 5 cos (x)

\frac{d}{d x} (9^{x^{2} - x})

\int \frac{cos ( ln ( x ) - 6 )}{x} d x

30 (2 e^{x^{2}} x^{2} + e^{x^{2}})

x \to + 4 lim (9 x + ∣ x - 4 ∣)

What is the derivative of 4cos(x-5sin(x)) ?
The derivative of 4cos(x-5sin(x)) is -4sin(x)-5cos(x)
What is the first derivative of 4cos(x-5sin(x)) ?
The first derivative of 4cos(x-5sin(x)) is -4sin(x)-5cos(x)