the linearization of f(x) = x^4 + 3x^2 with a = -1 is L(x) = 4 - 10(x+1) the linearization formula is L(x) = f(a) + f'(a)*(x-a) when, a = -1 f(a) = (-1)^4 + 3(-1)^2 = 4 f'(x) = 4*x^3 + 6*x f'(a) = 4(-1)^3 + 6(-1) = -10 so, L(x) = (4) + (-10)*(x-(-1)) = 4 - 10(x+1)
0.5556
4/x can be written as 4x-1 (the power of negative 1 means it is the denominator of the fraction) 4*-1 = -4 Therefore, the derivative is -4x-2
Let us say that f(x)=x^4A derivative is the opposite to an integral.If you were to integrate x^4, the first process is taking the power [which in this case is 4], multiplying it by any value before the x [which is 1], then subtracting 1 from the initial power [4]. This leaves 4x^3. The final step is taking the integral of what is 'inside' the power [which is (x)], and multiplying this to the entire answer, which results in 4x^3 x 1 = 4x^3If you were to derive (x)^4, you would just add 1 to the power [4] to become (x)^5 then put the value of the power as the denominator and the function as a numerator. This leaves [(x^5)/(5)]To assure that the derivative is correct, integrate it. (x^5) would become 5x^4. Since (x^5) is over (5), [(5x^4)/(5)] cancels the 5 on the numerator and denominator, thus leaving the original function of x^4
It is negative one divided by 4 multiplied by x to the power of 1.5 -1/(4(x^1.5))
0.04
To break it down: 1 x 10 = 10 10 to the power of 4 = (((10 x 10) x 10) x 10) 10 x 10 = 100 100 x 10 = 1,000 1,000 x 10 = 10,000 Answer: 10,000
1/10000 or 0.0001
4 to the 3rd power = 64 = (6 x 10) + (4 x 1)
By definition of powers, x to the power y = x*x*x*........y times x to the power 1 = x Therefore, 10 to the power 1 = 10.
1 x 10 to the power of 2 is 1 x 102 or 10 x 10 or 100
the linearization of f(x) = x^4 + 3x^2 with a = -1 is L(x) = 4 - 10(x+1) the linearization formula is L(x) = f(a) + f'(a)*(x-a) when, a = -1 f(a) = (-1)^4 + 3(-1)^2 = 4 f'(x) = 4*x^3 + 6*x f'(a) = 4(-1)^3 + 6(-1) = -10 so, L(x) = (4) + (-10)*(x-(-1)) = 4 - 10(x+1)
1.52 x 10 to the power of 4 is 15200.
108 = 10 x 10 x 10 x 10 x 10 x 10 x 10 x 10 = 100000000 (1 followed by 8 zeros). To work out 10 to the power of any whole number, put a 1 followed by the power number of zeros, for example 104 is 1 followed by 4 zeros (10000); 1016 is 1 followed by 16 zeros (10000000000000000).
10^3 X 10^(-7) = 10^(3-7) = 10^-4 = 1/10^4 = 1/10000 = 0.0001
3.45 x 10^1
4 x 10 x 10 x 10 x 10 x 10 x 10 = 4 000 000 (4 million)