
Master the chain rule for differentiating composite functions and differentiate inverse trigonometric functions. Learn implicit differentiation and logarithmic and exponential differentiation, and prepare for the course assignment.
Explore the chain rule for differentiating composite functions, and learn derivatives of inverse trigonometric functions, with practice on the quotient rule and domain considerations.
Master the differentiation of inverse trigonometric functions through substitution techniques and back-substitution, with step-by-step walkthroughs of arcsin, arccos, arctan, and related derivatives. Gain targeted practice solving problems on derivatives of inverse trig functions, using substitutions and identity tricks to differentiate arcsin, arccos, arctan, and their variants.
Learn to differentiate inverse trigonometric functions and apply implicit differentiation to implicit functions and their derivatives. Practice converting implicit equations and distinguishing explicit versus implicit forms.
tackle practice problems on differentiation with respect to x, including differentiating cosine. solutions are provided, and you can reach out for help.
Has Differential Calculus baffled you? Hi and Welcome to Differentiation Part 2. I am Suman Mathews.
I have a double Master's in Mathematics and I've taught Maths for three decades at the high school and college level. Trust me. I know exactly what it takes to boost up your math scores. I have explained the basics of Differentiation in Part 1 of Differentiation.
If you like you can enrol for Part 1 of he course. it's free! So, we start with going over the derivatives of Composite Functions.
You learn how to apply Chain Rule in a simple way. Moving on, you'll learn about how to incorporate differentiation of Inverse Trigonometric functions. The trick here, is to substitute and make the function simple.
A number of problems have been incorporated here and solved for your understanding. You'll learn what are Implicit Functions and how to differentiate them. The trick here is to just differentiate both sided of the equation.
Implicit Differentiation is explained quite in detail here. There is also an Assignment and a small test on multiple choice questions on what you've learnt so far. I hope this has served your purpose of learning Differentiation.
Bonus: Learn about L-Hospital's rule in Indeterminate form of limits. This lesson shows you how we use Differentiation in evaluating special limits. Applications of Derivatives, ie Derivative as a Rate Measure is also discussed here.
Learn the basic concept of functions used in Algebra. You start with how to calculate inverse of a function.
Get inspired and enrol for this course. Remember, a journey of a thousand miles begins with one step! Thank you!