# 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.

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

power rule d/dx(xn)=nx(n-1) chain rule (f(g(x))’=f'(g(x)).g(x)

## Differentiate rational functions Posted by: Rahulakumar S on Apr 03, 2018

d/dx(xn)=nx(n-1) d/dx(x)=1 d/dx(c)=0

## Differentiating trigonometric function Posted by: Rahulakumar S on Apr 03, 2018

(1) d/dx(sinx)= cosx (2) d/dx(cosx)= -sinx (3) d/dx(tanx)= -( secx)2 (4) d/dx(cotx)= -(cosecx)2 (5) d/dx(secx)= secx.tanx (6) d/dx(cosecx)= -cosecx.cotx

## Differentiating trigonometric function Posted by: Rahulakumar S on Apr 02, 2018

d/dx(sinx)=cosx d/dx(cosx)=-sinx d/dx(tanx)=(secx)2

## Composite exponential function differentiation Posted by: Rahulakumar S on Apr 02, 2018

When we differentiate the composite exponential function, we want to use the product rule and the chain rule.

## Composite exponential function differentiation Posted by: Rahulakumar S on Apr 02, 2018

product rule chain rule d/dx(ax)=ln(a).ax

## Composite exponential function differentiation Posted by: Rahulakumar S on Apr 02, 2018

product rule chain rule ln(a)m=m(ln)a

## implicit differentiation Posted by: Rahulakumar S on Apr 01, 2018

Evaluating derivative with implicit differentiation.

## Second Derivative Posted by: Rahulakumar S on Apr 01, 2018

NOTATION FOR SECOND DERIVATIVE Leibniz’s notation is d2y/dx2 Lagrange’s notation is f”

## chain rule twice Posted by: Rahulakumar S on Mar 31, 2018

The chain rule tells us how to take the derivative of their composition. d/dx(f(g(x)))=f'(g(x)).g'(x)

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