# calculus

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find the derivative of the function

f(x)= tan (10x^2)

• calculus -

Use the function of a function or "chain" derivative rule.
Let u(x) = 10 x^2

f(x) = f{u(x)}
f(u) = tan u
df/dx = (df/du)*(du/dx)
= sec^2 u *(20 x)
= 20x *sec^2(10 x^2)

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