What is the derivative of sin(10x)+cos(15x) ?

The derivative of sin(10x)+cos(15x) is cos(10x)*10-sin(15x)*15

What is the first derivative of sin(10x)+cos(15x) ?

The first derivative of sin(10x)+cos(15x) is cos(10x)*10-sin(15x)*15

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of

sin (10 x) + cos (15 x)

cos (10 x) \cdot 10 - sin (15 x) \cdot 15

Solution steps

\frac{d}{d x} (sin (10 x) + cos (15 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (10 x)) + \frac{d}{d x} (cos (15 x))

\frac{d}{d x} (sin (10 x)) = cos (10 x) \cdot 10

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

= cos (10 x) \cdot 10 - sin (15 x) \cdot 15

x^{2} ∣ x ∣

sin (x \cdot 2 + 2 x + 3)

\frac{10}{( x + 5 ) ^{2}}

f (x) = lo g_{2} (x) - 1

12 cos^{2} (t)

What is the derivative of sin(10x)+cos(15x) ?
The derivative of sin(10x)+cos(15x) is cos(10x)*10-sin(15x)*15
What is the first derivative of sin(10x)+cos(15x) ?
The first derivative of sin(10x)+cos(15x) is cos(10x)*10-sin(15x)*15