Find the Derivative - d/dx 6sec(x)

Problem

(d(6)*sec(x))/d(x)

Solution

1. Identify the constant multiple rule, which states that the derivative of a constant times a function is the constant times the derivative of that function.

(d(6)*sec(x))/d(x)=6d(sec(x))/d(x)

2. Apply the derivative rule for the secant function, where the derivative of sec(x) with respect to x is sec(x)*tan(x)

d(sec(x))/d(x)=sec(x)*tan(x)

3. Multiply the constant by the result of the derivative to find the final expression.

6⋅sec(x)*tan(x)=6*sec(x)*tan(x)

Final Answer

(d(6)*sec(x))/d(x)=6*sec(x)*tan(x)

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