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$Derivative pdf: >> http://ble.cloudz.pw/download?file=derivative+pdf << (Download) Derivative pdf: >> http://ble.cloudz.pw/read?file=derivative+pdf << (Read Online) derivative rules pdf integration formula pdf derivative formula list derivative examples and solutions pdf list of derivatives and integrals derivative table pdf derivative formula pdf derivatives calculus pdf List of Derivative Rules. Below is a list of all the derivative rules we went over in class. • Constant Rule: f(x) = c then f (x)=0. • Constant Multiple Rule: g(x) = c · f(x) then g (x) = c · f (x). • Power Rule: f(x) = xn then f (x) = nxn?1. • Sum and Difference Rule: h(x) = f(x)±g(x) then h (x) = f (x)±g (x). • Product Rule: h(x) = f(x)g(x) then h Contents. • 1. Slope-The Concept. • 2. Slope of a curve. • 3. Derivative-The Concept. • 4. Illustration of Example. • 5. Definition of Derivative. • 6. Example. • 7. Extension of the idea. • 8. Example. • 9. Derivative as a Function. • 10. Rules of Differentiation. • Power Rule. • Practice Problems and Solutions The identity function is a particular case of the functions of form. (with n = 1) and follows the same derivation rule : ? ? 1. 1 1. • It is often the case that a function satisfies this form but requires a bit of reformulation before proceeding to the derivative. It is the case of roots (square, cubic, etc.) representing fractional exponents. 3. Rules for Finding Derivatives. It is tedious to compute a limit every time we need to know the derivative of a function. Fortunately, we can develop a small collection of examples and rules that allow us to compute the derivative of almost any function we are likely to encounter. Many functions involve quantities raised to a Some basic derivatives: f(x) f (x) f(x) f (x) xn nxn?1 ex ex ln(x). 1/x sin(x) cos(x) cos(x). ?sin(x) tan(x) sec2(x) cot(x). ?cosec2(x) sec(x) sec(x) tan(x) cosec(x). ?cosec(x) cot(x) tan?1(x). 1/(1 + x2) sin?1(x). 1/. v. 1 ? x2 for |x| < 1 cos?1(x). ?1/. v. 1 ? x2 for |x| < 1 sinh(x) cosh(x) cosh(x) sinh(x) tanh(x) sech2(x) coth(x). ?cosech2(x). In Chapter 1, you learned that instantaneous rate of change is represented by the slope of the tangent at a point on a curve. You also learned that you can determine this value by taking the derivative of the function using the first principles definition of the derivative. However, mathematicians have derived a set of rules for. www.math.wustl.edu/~freiwald/Math131/derivativetable.pdf. In the table below, and represent differentiable functions of ? ? 0РBС. @ ? 1РBС. B. Derivative of a constant .- .B ? ! Derivative of constant. ( ). We could also write. , and could use . .? .B .B w w. -? ? -. Р. Р-0С ? -0 the “prime notion" in the other formulas as degree of ( ). Q x then factor the denominator as completely as possible and find the partial fraction decomposition of the rational expression. Integrate the partial fraction decomposition (P.F.D.). For each factor in the denominator we get term(s) in the decomposition according to the following table. Factor in ( ). Q x. Term in Page 1. ( ) -. ( ) = () = -. ( ) = . =( ). () - -. ( ? ) = +? ? ?. =( ). - =( ). =( ). ?. () = () = ? ?. () -. ( ) = ( ) =( ) = { +. == == ++. == , ,+. , , = +. ?= +. Computing in Calculus. Derivatives. The Derivative of a Function. Powe$