By the chain rule, the derivative of sin(x1/2) will be the derivative of x1/2 multiplied by the derivative of the enclosing sine function. Thus,
y = sin(x1/2)
y' = (1/2)*(x-1/2)*cos(x1/2)
For further reading, you might want to consult your calculus book on the chain rule. Here is a site that (kind of) explains the chain rule, though it does have good examples: http://archives.math.utk.edu/visual.calculus/2/chain_rule.4/index.html
For step-by-step derivatives of functions, try Calc 101: http://calc101.com/webMathematica/derivatives.jsp
According to the Bible, we cannot differentiate sin as minor or major. A minor sin is also a "Sin".
To differentiate y=sin(sin(x)) you need to use the chain rule. A common way to remember the chain rule is "derivative of the outside, keep the inside, derivative of the inside". First, you take the derivative of the outside. The derivative of sin is cos. Then, you keep the inside, so you keep sin(x). Then, you multiple by the derivative of the inside. Again, the derivative of sinx is cosx. In the end, you get y'=cos(sin(x))cos(x))
The deriviative of sin2 x + cos2 x is 2 cos x - 2 sin x
The question is asked properly: Is all SIN equal (not sins). We are the ones that differentiate it, break it into "manageable" pieces. Jesus took away the SIN of the world - John 1:29.
You should apply the chain rule d/dx(x.sin x) = x * d/dx(sin x) + sin x * d/dx(x) = x * cos x + sin x * 1 = x.cos x + sin x
y = x sin(x) + cos(x)Derivative of the first term = x cos(x) + sin(x)Derivative of the second term = -sin(x)y' = Sum of the derivatives = x cos(x) + sin(x) - sin(x)= [ x cos(x) ]
The sine rule is a comparison of ratios: (sin A)/a = (sin B)/b = (sin C)/c. The cosine rule looks similar to the theorem of Pythagoras: c2 = a2 + b2 - 2ab cos C.
If you actually mean "... with respect to x", and that y is equal to this function of x, then the answer is:y = x sin(x)∴ dy/dx = sin(x) + x cos(x)
The derivative of cos x is -sin x, the derivative of square root of x is 1/(2 root(x)). Applying the chain rule, the derivative of cos root(x) is -sin x times 1/(2 root(x)), or - sin x / (2 root x).
The answer depends on differentiate from WHAT!
cosx^2 differentiates too 2(cosx)^1 x the differential of cos which is -sin so u get -2sinxcosx use the chain rule!
If the upper limit is a function of x and the lower limit is a constant, you can differentiate an integral using the Fudamental Theorem of Calculus. For example you can integrate Integral of [1,x^2] sin(t) dt as: sin(x^2) d/dx (x^2) = sin(x^2) (2x) = 2x sin(x^2) The lower limit of integration is 1 ( a constant). The upper limit of integration is a function of x, here x^2. The function being integrated is sin(t)
f(x)=9x2(sin x * tan x)f'(x)= 18x(sin x * tan x) + 9x2(cos x * tan x + sec2x * sin x)there might be some identities that allow that to be simplified to look prettier
Do you mean sin(x2) or sin(x)2? In each case, you would apply the chain rule. The derivative of the sine function is the cosine, and the derivative with respect to x of axn is nax(n - 1). So if you mean: f(x) = sin(x2) Then: f'(x) = cos(x2) * 2x If you mean: f(x) = sin(x)2 Then: f'(x) = 2sin(x) * cos(x)
The sine rule(also known as the "law of sines") is: a/sin A = b/sin B = c/sin C where the uppercase letters represent angles of a triangle and the lowercase letters represent the sides opposite the angles (side "a" is opposite angle "A", and so on.) Sine Ratio(for angles of right triangles): Sine of an angle = side opposite the angle/hypotenuse written as sin=opp/hyp.
differentiate articulation from enunciation?
differentiate slide from presentation
Differentiate Fatigue & Boredom?
Can you differentiate between the different types of hosta?Can you differentiate between the different types of birds in this yard?
Differentiate: Means to tell thedifferencebetween two things.Example: Differentiate between heat and temperature.
Differentiate a pilot and a plane!
He could not differentiate between what was right or wrong.
Differentiate or compare theory from law