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

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 for events A and B respectively, have m1 and m2 as their respective favorable cases….

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Derivative of Trigonometric and Hyperbolic Functions and their Inverses

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 = –sechx.tanhx d(cosechx)/dx = –cosechx.cothx   Derivative of Inverse Trigonometric Functions d(sin^-1x)/dx = 1 /…

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