Constants
Polynomials
Roots
Rational Numbers
100

Differentiate 

y=5

frac{dy}{dx} =0

100

Find the derivative of 

f(x)=6x+2

f'(x)=6

100

Differentiate 

f(x)=\sqrt{x}

f'(x)=frac{1}{2\sqrt{x}}

100

Differentiate 

f(x)=frac{1}{x}

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

200

Differentiate 

f(x)=67

f'(x)=0

200

Find  frac{dy}{dx}  if 

y=3x^5

frac{dy}{dx}=15x^4

200

Differentiate 

f(x)=frac{1}{\sqrt{x}}

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

200

If  y=frac{3x^2+2}{x}  find  frac{dy}{dx} 

frac{dy}{dx}=3+frac{-2}{x^2}

300

Differentiate  y=45a  with respect to  x 

frac{dy}{dx}=0

300

Differentiate 

f(x)=7x^3+8x-12

f'(x)=21x^2+8

300

Find the derivative of 

y= root(5){x}

frac{dy}{dx}=\frac{1}{5root(5){x^4}

300

Differentiate 

y=frac{x^2+x}{x}

frac{dy}{dx}=1

400

Differentiate 

y=4500+24-81

frac{dy}{dx}=0

400

Find the derivative of  f(x)=ax^2+bx+c with respect to  x 

f'(x)=2ax+b

400

Differentiate 

f(x)=frac{\sqrt{x}}{x}

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

400

Find the derivative of 

f(x)=frac{7x^2+3x}{x^4}

f'(x)=frac{-14}{x^3}+frac{-9}{x^4}

500

Find the derivative of 

f(x)=\pi

f'(x)=0

500

Find f'(x) if  

f(x)=3x^22+8x+e

 

f'(x)=66x^21+8

500

Differentiate 

y=frac{x}{root(3)(x)}

frac{dy}{dx}=frac{2}{3root(3)(x)}

500

Differentiate 

y=frac{8x^3+2x}{sqrt{x}}

frac{dy}{dx}=20sqrt{x^3}+frac{1}{sqrt{x}}