Step-by-step explanation:
The question is not well written. Let us say the function given as expressed as;
f(x) = -1/x + 3/x⁴
f'(x) means we are to differentiate the function with respect to x;
Given f(x) = axⁿ
f'(x) = naxⁿ⁻¹
f(x) = -x⁻¹ + 3x⁻⁴
Applying the differentiation formula we will have;
f'(x) = -1(-x⁻²)+(-4)3x⁻⁴⁻¹
f'(x) = x⁻²-12x⁻⁵
Express as a fraction
f'(x) = 1/x²-12/x⁵
To get f'(4), we will have to substitute x = 4 into the resulting expression
f'(4) = 1/4²-12/4(5)
f'(4) = 1/16-12/20
f'(4) = 1/16-3/5
Find the LCM
f'(4) = (5-48)/80
f'(4) = -43/80
Note that the function used was assumed but the same method can be employed to any other functions.
WILL MARK!!
I don't understand this ;-;
sin−1(sin(7π/3))
The most effective strategies to subtract 563 from 192 are by rounding the number (Choice B) or by step-by-step addition and subtraction (Choice A), with rounding being the preferred method for ease of calculation.
To subtract 563 from 192, two effective strategies can be used. The first strategy (Choice B) simplifies the problem by rounding 192 to 200, subtracting to get 563 - 200 = 363, and then adding back the difference of 8 (since 200 - 192 = 8), resulting in the final answer of 363 + 8 = 371.
The second strategy (Choice A) is to add the constituent parts of 192, which are 100, 90, and 2, to perform step-by-step addition and subtraction. This method, however, is less efficient than the rounding technique and is prone to errors in a manual calculation process.
#SPJ2
A. 2x10 + 8x6 + 4x2 - x + 3
B. 8x6 + 4x2 + 3 + 2x10 - x
C. 3 + 2x10 + 8x6 + 4x2 - x
D. 3 - x + 2x10 + 8x6 + 4x2