Click here to see some Calculus Problems

ADVANCED FUNCTIONS

CALCULUS AND VECTORS

Click to the topics below to see the details

Even-odd Function
Factoring
Factoring Polynomials using by Factor Theorem
Remainder Theorem
Inequalities
Absolute Value Functions
Inverse of a function
Limits
Derivative of functions
Related Rates
Optimization In Business And Economics
Exponent Laws
Exponential Functions
Transformation of Functions
Horizontal Transformations
Logarithm
Logarithmic Scales
Derivatives of Exponential and Logarithmic Functions
Limit and Derivative of Trigonometric Functions
Curve Sketching

VECTORS:

Dot Product
Cross Product
Linear Dependence/Independence of Vectors
Division of a Line Segment
Vector Equation of Lines
Vector Equation of Planes
 

 

Click here to see some Calculus Problems

SOME CALCULUS PROBLEMS

 
Draw:     Click here to see the graph  
   
 Click here  
   
Find the derivative Click here  
   
Click here  
   
Second derivative in implicit differentiation,  click here to see.  
   
Click here to see the solution  
   
Derivative of a logarithmic equation, click here to see  
 
Composite Function

 

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Given:   f (x) = x + 4        g (x) = (x - 2)2        f (g (u (x))) = 4x2 - 8x + 8
Find       u (x) = ?
 

The tangent at point A (4, 16) to the curve defined by  is extended to cut the x-axis at B and the y-axis at C.  Determine the area of ΔOBC where O is the origin.

Click here to see the solution
 

Click here     Factor:  9 x - 25 y2 + 10 y - 1

Click here     Write y = tan 6x in the form of tan x

Click here     Calculate:    sin 112.5 = ?

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