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Popular >

derivative of axcos(x+bcos(x))

Solution

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

Solution

a (cos (x) - x sin (x)) - b sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= a (cos (x) - x sin (x)) - b sin (x)

Popular Examples

d/(d{x)}(e^{-({x}^2+{y}^2+{z}^2)})

\frac{d}{d x} (e^{- (x^{2} + y^{2} + z^{2})})

(dy)/(dx)=((x^3+y^3))/(3*x*y^2)

\frac{d y}{d x} = \frac{( x ^{3} + y ^{3} )}{3 \cdot x \cdot y ^{2}}

(dy)/(dx)=(y^2)/(x^3)

\frac{d y}{d x} = \frac{y ^{2}}{x ^{3}}

integral of 7x^2sqrt(1-x^3)

\int 7 x^{2} 1 - x^{3} d x

(dy)/(e^{5y)}=e^{4x}dx

\frac{d y}{e ^{5 y}} = e^{4 x} d x

Frequently Asked Questions (FAQ)

What is the derivative of axcos(x+bcos(x)) ?
The derivative of axcos(x+bcos(x)) is a(cos(x)-xsin(x))-bsin(x)
What is the first derivative of axcos(x+bcos(x)) ?
The first derivative of axcos(x+bcos(x)) is a(cos(x)-xsin(x))-bsin(x)