en

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

derivative of acos(7x+bsin(7x))

Solution

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

Solution

- 7 a sin (7 x) + b cos (7 x) \cdot 7

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - 7 a sin (7 x) + b cos (7 x) \cdot 7

Popular Examples

sum from n=1 to infinity}(2^{-n of)/(5^{-n)}

n = 1 \sum \infty \frac{2 ^{- n}}{5 ^{- n}}

derivative of 5x+3

\frac{d}{d x} (5 x + 3)

laplacetransform t^2e^t laplace transform

t^{2} e^{t}

derivative of f(x)=((x^2-1))/((2x-3))derivative of

f (x) = \frac{( x ^{2} - 1 )}{( 2 x - 3 )}

limit as t approaches infinity of Q(t)+(100-Q(t))e^{-kt}

t \to \infty lim (Q (t) + (100 - Q (t)) e^{- k t})

Frequently Asked Questions (FAQ)

What is the derivative of acos(7x+bsin(7x)) ?
The derivative of acos(7x+bsin(7x)) is -7asin(7x)+bcos(7x)*7
What is the first derivative of acos(7x+bsin(7x)) ?
The first derivative of acos(7x+bsin(7x)) is -7asin(7x)+bcos(7x)*7