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Further Differentiation and Integration

Further Differentiation and Integration. f ’( x ). x. Further Differentiation and Integration. f ’( x ). x. For these results to be true, x must be measured in radians. Integrating Sin x and Cos x. Since and.

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Further Differentiation and Integration

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  1. Further Differentiation and Integration f ’(x) x

  2. Further Differentiation and Integration

  3. f ’(x) x

  4. For these results to be true, x must be measured in radians.

  5. Integrating Sin x and Cos x Since and For these results to be true, x must be measured in radians.

  6. Derivative of (ax + b)n Taking this a step further: This is known as the chain rule. My rule:- Differentiate outside, differentiate inside then multiply.

  7. Another Approach

  8. Applications The chain rule allows us to investigate applications involving composite functions. Remember: to find the equation of a line we need a point and a gradient.

  9. Integrating (ax+b)n Here we can use the chain rule. + C × 3 5 My rule: Integrate outside, differentiate inside then divide. + C × 2 3

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