Common Derivative Formulas You Must Memorize
This study pack covers fundamental derivative formulas essential for engineering math and calculus, including basic power rules, trigonometric derivatives, exponential and logarit…
Summary
This study pack covers fundamental derivative formulas essential for engineering math and calculus, including basic power rules, trigonometric derivatives, exponential and logarithmic functions, and key differentiation techniques such as the product, quotient, and chain rules. These formulas provide the basis for solving a wide range of calculus problems and are commonly tested in exams.
🧠 Key Concepts
- Constant function derivative
- Power rule
- Trigonometric derivatives
- Exponential derivatives
- Logarithmic derivatives
- Product rule
- Quotient rule
- Chain rule
🧠 Quick Check
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What is the derivative of a constant function c with respect to x?
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DERIVATIVE FORMULAS
These are the most common derivative formulas used in Engineering Math and Calculus.
Basic Rules: d/dx (c) = 0 d/dx (x) = 1 d/dx (x^n) = n*x^(n-1)
Trigonometric Functions: d/dx (sin x) = cos x d/dx (cos x) = -sin x d/dx (tan x) = sec^2 x d/dx (sec x) = sec x tan x d/dx (csc x) = -csc x cot x d/dx (cot x) = -csc^2 x
Exponential and Logarithmic: d/dx (e^x) = e^x d/dx (a^x) = a^x ln a d/dx (ln x) = 1/x d/dx (log_a x) = 1 / (x ln a)
Product Rule: d/dx (uv) = u'v + uv'
Quotient Rule: d/dx (u/v) = (u'v - uv') / v^2
Chain Rule: d/dx f(g(x)) = f'(g(x)) * g'(x)
These formulas are frequently used in board exams and problem solving.
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