Question

write derivative of sinx

Answer 1

Step-by-step explanation:

The derivative of sin x formula is one of the formulas of differentiation. There are specific formulas in differentiation to find the derivatives of different types of functions. All these formulas are basically derived from the limit definition of the derivative (which is called derivative by the first principle). Here also we are going to prove the derivative of sin x to be -cos x using the first principle.

Let us learn how to do the differentiation of sin x along with a few examples. Also, let us study the graph of sin x and the derivative of sin x.

What is the Derivative of Sin x?

The derivative of sin x with respect to x is cos x. It is represented as d/dx(sin x) = cos x (or) (sin x)' = cos x. i.e., the derivative of sine function of a variable with respect to the same variable is the cosine function of the same variable. i.e.,

d/dy (sin y) = cos y

d/dθ (sin θ) = cos θ

The derivative of sin x formula is cos x. It is denoted by d over dx of sin x is equal to cos x.

Derivative of Sin x Formula

The derivative of sin x is cos x. We are going to prove this in each of the following methods.

By first principle

By chain rule

By quotient rule

Answer 2

Answer:

The derivative of sin x is cos x.

Step-by-step explanation:

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$\huge\mathfrak\red{ANSWER}$I hope you get it ;)

$\huge\mathfrak\red{ANSWER}$I hope you get it ;)pls mark me as brainalist :)

$\huge\mathfrak\red{ANSWER}$I hope you get it ;)pls mark me as brainalist :)keep learning ✌️