What is the derivative of f(x)=4sin(x)+7cos(x) ?

The derivative of f(x)=4sin(x)+7cos(x) is 4cos(x)-7sin(x)

What is the first derivative of f(x)=4sin(x)+7cos(x) ?

The first derivative of f(x)=4sin(x)+7cos(x) is 4cos(x)-7sin(x)

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derivative of

f (x) = 4 sin (x) + 7 cos (x)

4 cos (x) - 7 sin (x)

Solution steps

\frac{d}{d x} (4 sin (x) + 7 cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sin (x)) + \frac{d}{d x} (7 cos (x))

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

\frac{d}{d x} (7 cos (x)) = - 7 sin (x)

= 4 cos (x) - 7 sin (x)

\frac{\partial}{\partial x} (x^{4} sin (x y^{3}))

\int \frac{( arctan ( 5 x ) )}{1 + 25 x ^{2}} d x

\frac{d}{d x} (- x^{5})

\int t^{7} ln (t) d t

\int (1 + x^{3})^{5} x^{2} d x

What is the derivative of f(x)=4sin(x)+7cos(x) ?
The derivative of f(x)=4sin(x)+7cos(x) is 4cos(x)-7sin(x)
What is the first derivative of f(x)=4sin(x)+7cos(x) ?
The first derivative of f(x)=4sin(x)+7cos(x) is 4cos(x)-7sin(x)