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Find the derivative of sin(2x + 1)

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Final Answer

$2\cos\left(2x+1\right)$

Step-by-step Solution

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Math interpretation of the question

$\frac{d}{dx}\left(\sin\left(2x+1\right)\right)$

Learn how to solve differential calculus problems step by step online.

$\frac{d}{dx}\left(\sin\left(2x+1\right)\right)$

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Learn how to solve differential calculus problems step by step online. Find the derivative of sin(2x + 1). Math interpretation of the question. 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

$2\cos\left(2x+1\right)$

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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

Find the derivativeFind derivative of sin(2x+1) using the product ruleFind derivative of sin(2x+1) using the quotient ruleFind derivative of sin(2x+1) using logarithmic differentiationFind derivative of sin(2x+1) using the definition

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Main Topic: Differential Calculus

The derivative of a function of a real variable measures the sensitivity to change of a quantity (a function value or dependent variable) which is determined by another quantity (the independent variable). Derivatives are a fundamental tool of calculus.

Used Formulas

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