How to input in MATLAB, and how to find the first derivative and second derivative, find the input program in MATLAB?
syms x y dy ddy
y=1.2*exp(-5)*x^9;
dy=diff(y,x)
ddy=diff(dy,x)
However, according to the above writing, matlab will calculate the constant e ^ (- 5), the result is not good-looking, so it is strongly recommended to write it in the following form
syms x y e dy ddy
y=1.2*e^(-5)*x^9;
dy=diff(y,x)
ddy=diff(dy,x)
The running results are as follows
dy = (54*x^8)/(5*e^5)
ddy = (432*x^7)/(5*e^5)
In (x-t) f (T), find the indefinite integral from 0 to X for T and the derivative of the result to X
First of all, we should ensure that f (T) is continuous, otherwise the derivative may not exist
[∫(0,x)(x-t)f(t)dt]'
=[∫(0,x)xf(t)dt-∫(0,x)tf(t)dt]'
=[x∫(0,x)f(t)dt-∫(0,x)tf(t)dt]'
=∫(0,x)f(t)dt+x[∫(0,x)f(t)dt]'-[∫(0,x)tf(t)dt]'
=∫(0,x)f(t)dt+xf(x)-xf(x)
=∫(0,x)f(t)dt
How to find the derivative of (1 / 2) ln ^ 2x?
The derivative of LN ^ 2x is 2lnx * 1 / x = 2lnx / X