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  # Find the derivative of $\sin\left(3x^2-1\right)^2$
  
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  ##  Final answer to the problem
  
  $6x\sin\left(6x^2-2\right)$
  Got another answer? Verify it here!
  
  ##  Step-by-step Solution 
  
  How should I solve this problem?
  
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  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  Can't find a method? Tell us so we can add it.
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  The power rule for differentiation states that if $n$ is a real number and $f(x) = x^n$, then $f'(x) = nx^{n-1}$
  
  $2\sin\left(3x^2-1\right)\frac{d}{dx}\left(\sin\left(3x^2-1\right)\right)$
  
  Learn how to solve problems step by step online.
  
  $2\sin\left(3x^2-1\right)\frac{d}{dx}\left(\sin\left(3x^2-1\right)\right)$
  
  Learn how to solve problems step by step online. Find the derivative of sin(3x^2-1)^2. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The derivative of the sine of a function is equal to the cosine of that function times the derivative of that function, in other words, if {f(x) = \sin(x)}, then {f'(x) = \cos(x)\cdot D_x(x)}. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the constant function (-1) is equal to zero.
  
  ##  Final answer to the problem
  
  $6x\sin\left(6x^2-2\right)$
  
  ##  Explore different ways to solve this problem
  
  Solving a math problem using different methods is important because it enhances understanding, encourages critical thinking, allows for multiple solutions, and develops problem-solving strategies. Read more
  
  SnapXam A2
  
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  ln
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  lim
  d/dx
  Dx
  |◻|
  θ
  =
  >
  <
  >=
  <=
  sin
  cos
  tan
  cot
  sec
  csc
  
  asin
  acos
  atan
  acot
  asec
  acsc
  
  sinh
  cosh
  tanh
  coth
  sech
  csch
  
  asinh
  acosh
  atanh
  acoth
  asech
  acsch