Below you can find the full step by step solution for you problem. We hope it will be very helpful for you and it will help you to understand the solving process.
(85*sin(3*t)*sin(4*x))'The calculation above is a derivative of the function f (x)
(85*sin(3*t))'*sin(4*x)+85*sin(3*t)*(sin(4*x))'
0*sin(4*x)+85*sin(3*t)*(sin(4*x))'
0*sin(4*x)+85*sin(3*t)*cos(4*x)*(4*x)'
0*sin(4*x)+85*sin(3*t)*cos(4*x)*((4)'*x+4*(x)')
0*sin(4*x)+85*sin(3*t)*cos(4*x)*(0*x+4*(x)')
0*sin(4*x)+85*sin(3*t)*cos(4*x)*(0*x+4*1)
0*sin(4*x)+85*sin(3*t)*4*cos(4*x)
340*sin(3*t)*cos(4*x)
| Derivative of -68.02439cos(6.71t)sin(2.062x) | | Derivative of 32.9895cos(6.71t)cos(2.062x) | | Derivative of -59.172512cos(6.75t)sin(1.516x) | | Derivative of 39.032cos(6.75t)cos(1.516x) | | Derivative of 64.7919cos(9.18t)cos(3.031x) | | Derivative of 85cos(3t)cos(4x) | | Derivative of 9sin(cos(x^6)) | | Derivative of (11e^x)/6^x | | Derivative of (x-1)^2/(x-1) | | Derivative of (x-1)/(x-1)^2 | | Derivative of (-20*x^3*(1-x)-(5*x^4))/((1-x)^2) | | Derivative of -5x^4/(1-x) | | Derivative of (2*(cos(x))^4+6*(cos(x))^2*(sin(x))^2)/((cos(x))^6) | | Derivative of (2sin(x))/(cos(x))^3 | | Derivative of (2((3cos(x))^2(sin(x))^2+(cos(x))^4))/cos(x)^6 | | Derivative of (7^(7-x))^(1/2) | | Derivative of (10^(7-x))^(1/2) | | Derivative of (Cos(x^(1/2)))^4 | | Derivative of pi^(ln(8)) | | Derivative of (Cos(x^(1/2)))^8 | | Derivative of (7^7-x)^(1/2) | | Derivative of (10^7-x)^(1/2) | | Derivative of ((9-cos(x))/(sin(x)))^4 | | Derivative of -5sin(2x^5)^2 | | Derivative of e^ln(e)^2x | | Derivative of e^ln(e)^x | | Derivative of 4e^(-2x^10-6x^4) | | Derivative of e^(-4x^5+5x^6) | | Derivative of 3e^(-4x^5+5x^5) | | Derivative of e^(x+9)+6 | | Derivative of (e^x+9)+6 | | Derivative of (1/5)cos(5x) |