Application of derivatives-Stochastic calculus/Financial Engineering

Dear experts

I am preparing for Financial Engineering/stochastic calculus.

In the high-school level books I am referring to, the 'application of derivatives chapter' covering:

errors and approximations
Geometrical interpretation of the derivative
(normal/subtangent)
Lenth of tangent, normal, subtangent and subnormal
Angles between two curves and condition for orthogonality of curves
Derivative as a rate of change
Rolle's Theorem and Lagrange's theorem
Increasing and decreasing function
Global extreme and local extreme value
First derivative test/second derivative
Maxima and minima

I guess the above topics are explained with a view that students will further pursue engineering background.

CAn any of the experts please recommend if there is any book which focuses the application of the derivatives for those pursuing stochastic calculus or financial engineering.

I have purchased the following books and expect its delivery in two weeks time.

1. Solutions Manual - A Linear Algebra Primer for Financial Engineering... $40.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
2. A Linear Algebra Primer for Financial Engineering: Covariance... $62.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
3. Solutions Manual - A Primer For The Mathematics Of Financial... $40.00
Qty: 1
Sold By: Amazon.com Services, Inc.
 
4. A Primer For The Mathematics Of Financial Engineering, Second Edition... $54.43

If the  above books covers the application of derivatives then I am happy.

Even otherwise, I look forward to what the experts opinions are.

Thanks in advance for your response.