Differentiate the function y = 26 + x - 4x³ -½x^(-4)
dy/dx = 1 - 12x² + 2x^(-5)
LM
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All answers ▸The velocity of a car at time, ts^-1, during the first 20 s of its journey, is given by v = kt + 0.03t^2, where k is a constant. When t = 20 the acceleration of the car is 1.3ms^-2, what is the value of k?
A particle of mass m moves from rest a time t=0, under the action of a variable force f(t) = A*t*exp(-B*t), where A,B are positive constants. Find the speed of the particle for large t, expressing the answer in terms of m, A, and B.
Find dy/dx when y = 4x^1/2
Differentiate y = x^3− 5x^2 + 3x