Calculus & Analytic Geometry (B.A / B.Sc.)
Chapter:02 (Derivatives & Anti-Derivatives)
In this chapter, we will study the following topics:
- derivable function
- finite definite quantity
- derivatives and their geometrical interpretations
- derivative and velocity
- average velocity
- find the velocity of a moving object
- distance
- words memorized
- height of person
- circumference of circle
- total cost
- some standard derivatives
- mathematical induction
- natural logarithms
- derivatives of combinations of functions
- the inverse function
- composite function
- anti-derivative
- differential equation
- techniques of integration
- trigonometric substitution
- hyperbolic substitution
- the resemblance to trigonometric functions
- integrations formulae
- algebraic functions
- reduction formula for sec
- higher derivatives
- second derivative
- leibnitz theorem
- functions of several variables
- continuity
- differentiability
- implicit functions
- the equation of the tangent to the hyperbola
- the equation to the normal to the ellipse
- miscellaneous exercise
- partial derivatives
- equations of tangent and normals to the parabola
- the equation of the line tangent to the curve
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