Calculus terminology

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Across
  1. 4. useful for dealing with functions of functions (2 words)
  2. 6. the inverse operation to differentiation
  3. 7. gives an expression for the gradient of a tangent to the function
  4. 9. it's half the effort to find the definite integral of a function like this
  5. 10. the integral of the reciprocal function
Down
  1. 1. what the d of dx means (3 words)
  2. 2. synonym of anti-derivative
  3. 3. one dies if you forget the constant
  4. 5. the derivative of the sine function
  5. 8. a line that intersects a curve, perpendicular to the curve