Use the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to...

Use the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to find

a. The derivative of f(x) = x + (30/x)

b. The derivative of f(x) = 3x^2- 5x + 30

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milcah answered 2 years ago

Each of the following limits represents a derivative f '(a). Find f(x) and a. lim h→0...

Each of the following limits represents a derivative f '(a). Find f(x) and a. lim h→0 (5 + h)3 − 125 h f(x) = a = 5 lim x→2 x3 − 8 x − 2 f(x) = a = 2 lim h→0 52 + h − 25 h f(x) = a = 2

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(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as...

(a) Find the limit of the following functions: -lim as x approaches 0 (1-cos3(x)/x) -lim as x approaches 0 (sin(x)/2x) -lim as theta approaches 0 (tan (5theta)/theta) (b) Find the derivative of the following functions: -f(x) = cos (3x2-2x) -f(x) = cos3 (x2/1-x) (c) Determine the period of the following functions: -f(x) = 3 cos(x/2) -f(x)= 21+ 7 sin(2x+3)

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Use the definition f '(x) = lim tends to 0 (f(x+h) - f(x) / h) to...

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