How to Find the Derivative of the Sine Function | Step-By-Step Guide and Trigonometric Derivative Rule

d/dx sinx

To find the derivative of the function f(x) = sin(x), we can use the derivative rules and techniques for trigonometric functions

To find the derivative of the function f(x) = sin(x), we can use the derivative rules and techniques for trigonometric functions.

The derivative (d/dx) of sin(x) can be found by considering the following steps:

1. Start with the function f(x) = sin(x).

2. Apply the derivative rule for trigonometric functions:
The derivative of sin(x) is equal to the cosine function, i.e., d/dx sin(x) = cos(x).

Therefore, the derivative of sin(x) is cos(x).

This means that for any value of x, the rate of change of the sine function is equivalent to the value of the cosine function at that point.

More Answers:
Understanding the Trigonometric Function | Finding the Sine of 30 Degrees (sin 30°) in a Right Triangle
Calculating the Derivative of sec(x) | The Chain Rule Approach
How to Find the Derivative of the Tangent Function | Step-by-Step Guide and Formula Explanation

Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded

Share:

Recent Posts

Mathematics in Cancer Treatment

How Mathematics is Transforming Cancer Treatment Mathematics plays an increasingly vital role in the fight against cancer mesothelioma. From optimizing drug delivery systems to personalizing

Read More »