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

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

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

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

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derivative of

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

cos (7 x) \cdot 7 - sin (4 x) \cdot 4

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

\frac{d}{d x} (\frac{10 x}{x ^{2} + 1})

(3 x + 8)^{2}

\int cos (7 t) d t

2 x^{3} - 1

y = (1 + 2 x)^{11}, (0, 1)

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