If f(x) = 1/(6x^2), where x not equal to 0, find the rate of change when x=4.
f(x) can be rearranged to be: f(x) = 1/6 x-2This is then differentiated to be: f'(x) = -1/3 x-3 as the expression is multiplied by the original power (-2) and then the power is reduced by 1 (to -3)
f'(x) is then rearranged to be f'(x) = -1/(3x3) which x=4 can then be substituted into giving:
f'(4) = -1/(3*43) = -1/192
TR
Related Maths Scottish Highers answers
All answers ▸The equation x^2 + (k-5)x + 1 = 0 has equal roots. Determine the possible values of k.
a) Factorise: 2x^2-72, and hence b) find the y-intercept of the line with the equation: y=(2x^2-72)/(4x-24)
Find the stationery points of x^3 + 3x^2 - 24x + 7 and determine whether the slope is increasing or decreasing at x=3.
A circle has equation x^2+y^2+6x+10y-7=0. Find the equation of the tangent line through the point on the circle (-8,-1).