# Question: What’S The Derivative Of Sin2x?

## What is the derivative of sin 2 3x?

The derivative of sin2 (3x) is 3sin(6x)..

## What is the integral of sin?

Math2.org Math Tables: Table of Integralssin x dx = -cos x + C Proofcsc x dx = – ln|csc x + cot x| + C Proofcos x dx = sin x + C Proofsec x dx = ln|sec x + tan x| + C Prooftan x dx = -ln|cos x| + C Proofcot x dx = ln|sin x| + C Proof

## What’s the difference between 2sinx and sin2x?

2sinx is twice the trigonometric function sinx whereas 2x in sin2x represents angle. … Twice that function is 2sin(x). Sin(2x) is a function with a different “argument.” For example, if x=90-degrees, then sin(x) = 1, but sin(2x) =0.

## Is sin2x the same as Sinx 2?

Nope. sin²x you take the sine first, then square, in sin(x²), you square the x first then take the sine.

## What is the derivative symbol?

Calculus & analysis math symbols tableSymbolSymbol NameMeaning / definitionDx yderivativederivative – Euler’s notationDx2ysecond derivativederivative of derivativepartial derivative∫integralopposite to derivation33 more rows

## Why do we calculate derivatives?

The derivative measures the steepness of the graph of a function at some particular point on the graph. Thus, the derivative is a slope. (That means that it is a ratio of change in the value of the function to change in the independent variable.)

## What is the derivative of E 3x?

We have to find the chain rule to find the derivative of f(x) = e^3x. The chain rule for the function f(x) = g(h(x)) gives f'(x) = g'(h(x))*h'(x). The required derivative is 3*e^3x.

## What is derivative formula?

Derivatives are a fundamental tool of calculus. The derivative of a function of a real variable measures the sensitivity to change of a quantity, which is determined by another quantity. Derivative Formula is given as, \LARGE f^{1}(x)=\lim_{\triangle x \rightarrow 0}\frac{f(x+ \triangle x)-f(x)}{\triangle x}

## What is the derivative of E 4x?

The outer function is e(x) and the inner function is 4x. The derivative of e(x) is e(x). The derivative of 4x is 4.

## What is the difference between sin 2x and Sinx 2?

Sin x^2 is the “sine of (x-squared)”,so it is an ordinary sine function. Sin^2 x is “sine-squared of x” which is a different function from the sine function. … Now sin x^2 is sin y where y = x^2.

## What’s the difference between dy dx and dx dy?

dy/dx is the measure of the change in the value of y due to a minor change in the value of x i.e. it is basically the measure of the slope of a tangent to the curve at that particular x. dx/dy will also be a measure of the change in the value of x due to a minor change in the value of y.

## What is derivative example?

Futures contracts, forward contracts, options, swaps, and warrants are commonly used derivatives. A futures contract, for example, is a derivative because its value is affected by the performance of the underlying asset. … There are two classes of derivative products – “lock” and “option”.

## How do you differentiate y sin 2x?

Substituting f(x), g(x), f'(x), and g'(x) into the chain rule equation gives us the equation d/dx(sin(2x))=cos(2x)*2, or 2cos(2x). Therefore, the differentiation of sin(2x)=2cos(2x).

## What is the differentiation of 3x square?

Since 3 is constant with respect to x , the derivative of 3×2 3 x 2 with respect to x is 3ddx[x2] 3 d d x [ x 2 ] .

## What is the derivative of Cotangent?

Math2.org Math Tables: Table of Derivativessin x = cos x Proofcsc x = -csc x cot x Proofcos x = – sin x Proofsec x = sec x tan x Prooftan x = sec2 x Proofcot x = – csc2 x Proof

## What is the integral of e 3x?

1 Answer. The answer is ∫e3xdx=e3x3 . So we have f(x)=e3x=g(h(x)) , where g(x)=ex and h(x)=3x .

## What is the derivative of 2x?

Derivative RulesCommon FunctionsFunctionDerivativeLinex1axaSquarex22xSquare Root√x(½)x-½24 more rows

## What’s the derivative of sine?

For example, the derivative of the sine function is written sin′(a) = cos(a), meaning that the rate of change of sin(x) at a particular angle x = a is given by the cosine of that angle.

## What is D DX?

By d/dx we mean there is a function to be differentiated; d/dx of something means that “something” is to be differentiated with respect to x. dy/dx means to “differentiate y with respect to x” as dy/dx means the same thing as d/dx(y). … chain rule is just a rule to find derivative of composition of two or more functions.

## What is the derivative of E 5x?

Answer and Explanation: Differentiating e5x gives 5e5x. To find the derivative of e5x, we will use the chain rule with f(x) = ex and g(x) = 5x (f(g(x)) = e5x).

## Is dy dx equal to Y?

d/dx (y) is an equivalent to dy/dx . df/dx is an expression that means “the derivative of f, with respect to x”. d/dx is an operator that means “take the derivative with respect to x of…”.

## What is D DX ex?

This problem can also be solved using the chain rule. Since the basic exponential function (using e as the base) is its own derivative, d/dx of e^(-x) = e^(-x) * d/dx of (-x) = e^(-x) * (-1) = -e^(-x). Have a blessed, wonderful day!