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You are supposed to use the chain rule for this. First step: derivative of root of sin2x is (1 / (2 root of sin 2x)) times the derivative of sin 2x. Second step: derivative of sin 2x is cos 2x times the derivative of 2x. Third step: derivative of 2x is 2. Finally, you need to multiply all the parts together.
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What is the derivative of cos 2x?
f'(x)=-sin2x(2) f'(x)=-2sin2x First do the derivative of cos u, which is -sin u. Then because of the chain rule, you have to take the derivative of what's inside and the derivative of 2x is 2.
Why does -2sinxcosx equal -sin2x?
-4
What is the derivative of square root of 2?
the derivative is 0. the derivative of a constant is always 0.
What is the difference between a definition and derivative?
a definition is what it means, a derivative is what it derives from, like a root word
Sin2x - radical 2 cosx equals 0?
Sin2x = radical 2
What is the derivative of 5 sin2x?
d/dx [ 5 sin(2x) ] = 10 cos (2x)
What is the square root of sin2x and why?
sin2x is the conventional way of writing (sinx)2; it does not denote the sine of sinx as one might expect. So the square root is just sinx.
What is the derivative of cos 2x?
f'(x)=-sin2x(2) f'(x)=-2sin2x First do the derivative of cos u, which is -sin u. Then because of the chain rule, you have to take the derivative of what's inside and the derivative of 2x is 2.
What is the derivative of 1 divided by sinx?
y=1/sinxy'=(sinx*d/dx(1)-1*d/dx(sinx))/(sin2x)y'=(sinx*0-1(cosx))/(sin2x)y'=(-cosx)/(sin2x)y'=-(cosx/sinx)*(1/sinx)y'=-cotx*cscx
Is sin2x equal to sin2x?
sin2X = sin2X What is it about ' equation ' you do you not understand. Of course they are equal!
Why does -2sinxcosx equal -sin2x?
-4
What is the derivative of square root of 2?
the derivative is 0. the derivative of a constant is always 0.
What is the derivative of the square root of 2?
The derivative of sqrt(2) is zero.
What is the Latin root of 'gerund'?
Ger- is the Latin root of 'gerund'. A Latin derivative of the Latin root syllable is the infinitive 'gerere', which means 'to carry about'. An English derivative, by way of the preceding Latin derivative, is the noun 'gerund'.
How do you differentiate cosine square root of 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).
What is the derivative of x raised to the 1 plus square root of 2?
If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)If you mean:f(x) = x1 + root(2)The derivative of x1, or x, is simply 1. The derivative of the square root of 2, just like the derivative of any constant, is zero. Therefore, the derivative of the entire function is one.If you mean:f(x) = x1 + root(2)you shuld use the power rule (the exponent, multiplied by x to the power (exponent minus 1)):(1 + root(2)) xroot(2)
What is the derivative of root x?
1/2rootx
