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learn.howToCalculate

learn.whatIsHeading

Derivative calculates instantaneous rate of change: df/dx = lim(h→0) [f(x+h)-f(x)]/h; foundation of calculus.

ଷ୍ଟେପ୍-ଷ୍ଟେପ୍ ଗାଇଡ୍ |

  1. 1Input function
  2. 2Apply derivative rules: power rule, chain rule, product rule, quotient rule
  3. 3Results show derivative function

ସମାଧାନ ହୋଇଥିବା ଉଦାହରଣ

ଇନପୁଟ୍
f(x) = x³ + 2x
ଫଳ
f'(x) = 3x² + 2

ଏଡ଼ାଇବା ଯୋଗ୍ୟ ସାଧାରଣ ଭୁଲ

  • Misapplying chain rule
  • Not remembering constant multiples rule

ବାରମ୍ବାର ଜିଜ୍ଞାସା

What does derivative represent?

Slope of tangent line; instantaneous rate of change; velocity if position function.

ସେଟିଂ