Given y=2x^4-1+x^1/2, solve dy/dx
Using the sum rule, you can split the function in three terms and then derive each of them separately. The rule is to bring down the power and the power minus one. So for the first term, it becomes 2*4x4-1, which is 8x3. Deriving a number, it becomes zero. The third one is (1/2)x(1/2)-1, which becomes (1/2)x^-1/2. So the result is dy/dx=8x3+(1/2)x-1/2.
YC
Related Maths A Level answers
All answers ▸How do you differentiate 5x
Solve the equation 2ln2x = 1 + ln3. Give your answer correct to 2dp.
Find the gradient of y=x^2-6x-16 at the point where the curve crosses the x-axis
Use the substition u = cos(x) to find the indefinite integral of -12sin(x)cos^3(x) dx