What is the derivative of f(x)=cos((x^2-25)/(x-5)) ?

The derivative of f(x)=cos((x^2-25)/(x-5)) is -sin(x+5)

What is the first derivative of f(x)=cos((x^2-25)/(x-5)) ?

The first derivative of f(x)=cos((x^2-25)/(x-5)) is -sin(x+5)

Popular >

derivative of

f (x) = cos (\frac{x ^{2} - 25}{x - 5})

- sin (x + 5)

Solution steps

\frac{d}{d x} (cos (\frac{x ^{2} - 25}{x - 5}))

Simplify

cos (\frac{x ^{2} - 25}{x - 5}) : cos (x + 5)

= \frac{d}{d x} (cos (x + 5))

Apply the chain rule:

- sin (x + 5) \frac{d}{d x} (x + 5)

= - sin (x + 5) \frac{d}{d x} (x + 5)

\frac{d}{d x} (x + 5) = 1

= - sin (x + 5) \cdot 1

Simplify

= - sin (x + 5)

x \to 0 lim (\frac{2 x + x ^{2}}{x})

\int 4 x^{3} n xx d x

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

\frac{s ^{4} + 1}{s ^{3} - s}

\int sin (8 x) cos (4 x) d x

What is the derivative of f(x)=cos((x^2-25)/(x-5)) ?
The derivative of f(x)=cos((x^2-25)/(x-5)) is -sin(x+5)
What is the first derivative of f(x)=cos((x^2-25)/(x-5)) ?
The first derivative of f(x)=cos((x^2-25)/(x-5)) is -sin(x+5)