Theorem of Compound Probability (Multiplication Theorem) – Mathematics Grade 12

Theorem of Compound Probability (Multiplication Theorem) Statement If two events A and B are independent, then the probability of their simultaneous occurrence is equal to the product of their individual probabilities. Proof Let n1 and n2  the total number of possible cases… Continue Reading

Derivative of Trigonometric and Hyperbolic Functions and their Inverses

Derivative of Trigonometric Functions d(sinx)/dx = cosx d(cosx)/dx = –sinx d(tanx)/dx = sec sq. x d(cotx)/dx = –cosec sq. x d(secx)/dx = secx.tanx d(cosecx)/dx = –cosecx.cotx Derivative of Hyperbolic Functions d(sinhx)/dx = coshx d(coshx)/dx = sinhx d(tanhx)/dx = sech sq. x d(cothx)/dx = –cosech sq. x d(sechx)/dx… Continue Reading