Math Problem Statement
2 вавариантвавариант реши
Solution
The task involves calculating derivatives for the given functions in the second variant. Let's break it down by each problem:
1.
To differentiate this, apply the power rule: [ \frac{dy}{dx} = 4x^3 - 15x^
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Math Problem Analysis
Mathematical Concepts
Calculus
Differentiation Rules
Formulas
Power Rule: d/dx[x^n] = n*x^(n-1)
Sum Rule: d/dx[f(x) + g(x)] = f'(x) + g'(x)
Product Rule: d/dx[uv] = u'v + uv'
Quotient Rule: d/dx[u/v] = (u'v - uv')/v^2
Theorems
Differentiation Rules
Basic Differentiation Techniques
Suitable Grade Level
Grades 11-12 or First-Year University
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