# 71 Calculus Tutorials

These Calculus tutorials are written by experienced educators, all of whom also offer private tutoring lessons. Get the Calculus help you need, whether through these tutorials or through private tutoring lessons.

## exponential function Posted by: Rahulakumar S on Apr 11, 2018

y=v(u(x)) — dy/dx=v'(u(x)).u'(x) (1) d/dx(sinx)=cosx (2) d/dx(cosx)=-sinx (3) d/dx(tanx)=(secx)2

## Differentiating related function Posted by: Rahulakumar S on Apr 10, 2018

d/dt(sinx(t))=d/dx(sinx).dx/dt d/dt(cosy(t))=d/dy(cosy).dy/dt

## Differentiating using multiple rules Posted by: Rahulakumar S on Apr 09, 2018

We will need to use the product rule and chain rule

## Differentiating using multiple rule Posted by: Rahulakumar S on Apr 09, 2018

using the chain rule and product rule

## Parametric functions differentiation Posted by: Rahulakumar S on Apr 09, 2018

In general, to find the derivative of a function defined parametrically by the equations x=u(t), y=v(t), we use the following rule dy/dx=(dy/dt).(dt/dx)=v(t)/u(t)

## Second Derivative parametric function Posted by: Rahulakumar S on Apr 09, 2018

x=u(t) dx/dt=U'(t) y=v(t) dy/dt=v'(t) dy/dx=dy/dt.dt/dx d2y/dx2=d/dt(dy/dx).dt/dx

## Negative power differentiation Posted by: Rahulakumar S on Apr 09, 2018

We can rewrite each rational term in the expression as a negative power of x

## Derivatives of inverse trigonometric function Posted by: Rahulakumar S on Apr 04, 2018

the formula for the derivative of arctan(x)=1/(1+x2).

## Implicit differentiation Posted by: Rahulakumar S on Apr 04, 2018

In implicit differentiation, we differentiate both sides of the equation according to x and treat y as an implicit function of x

## Implicit differentiation(advanced) Posted by: Rahulakumar S on Apr 04, 2018

d/dx(sinx)=cosx d/dx(y)=1.dy/dx

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