"Coshx" Example Sentences
1. The value of coshx can be expressed using a power series.
2. The graph of y = coshx is symmetric about the y-axis.
3. The derivative of coshx is sinh x.
4. The inverse function of coshx is arcosh x.
5. The Taylor series expansion of coshx is given by 1 + x^2/2!+x^4/4!+...
6. Cosine hyperbolic function, coshx, appears in many mathematical applications.
7. The integral of coshx is sinh x + C.
8. The domain of coshx is all real numbers.
9. The range of coshx is [1, ∞).
10. The graph of both cos x and coshx look similar, but they differ in the domain and range.
11. The Maclaurin series of coshx is 1 + x^2/2! + x^4/4!+...
12. The exponential function can be written using coshx and sinh x.
13. The integral of coshx^2 is (1/2)x + 1/4sinh(2x) + C.
14. The second derivative of coshx is -cosh x.
15. The Laplace transform of coshx is s/(s^2-1).
16. The value of the limit as x approaches infinity of coshx/x is 1.
17. The integral of coshx^3 is (1/3)sinh^3 x + sinh x + C.
18. The sum of coshx^2 and sinh x^2 is equal to 1.
19. The hyperbolic functions like coshx have similar properties as the trigonometric functions like cos x.
20. The integral of e^(2x)cos2x dx can be solved by using integration by parts and coshx substitution.
21. The differential equation y'' - y = coshx can be solved by using the method of undetermined coefficients.
22. The limit as x approaches zero of coshx - 1 is 0.
23. The integral of coshx^4 is (3/8)x + (1/8)sinh(2x) + (1/16)cosh(4x) + C.
24. The product of coshx and sinhx is equal to (1/2)sinh(2x).
25. The integral of coshx^5 is (1/5)sinh^5 x + (2/15)sinh^3 x + (1/3)sinh x + C.
26. The derivative of ln|coshx| is tanhx.
27. The differentiation of coshx^3 can be done by using the chain rule.
28. The inverse of y = 2coshx can be found by using the formula x = arcosh(y/2).
29. The integral of coshx/(sinhx)^2 can be solved by using the substitution u = sinh x.
30. The differential equation y'' + y = coshx can be solved by using the method of integrating factors.
Common Phases
1. Find the value of
coshx using a calculator;
2. Simplify the expression involving
coshx;
3. Graph the function y=
coshx;
4. Differentiate the function y=
coshx with respect to x;
5. Find the inverse of the hyperbolic cosine function
coshx;
6. Evaluate the integral involving the function
coshx;
7. Express
coshx in terms of exponential functions e^x and e^-x;
8. Use the identity cosh^2x - sinh^2x = 1 to solve for sinh x;
9. Substituting x=cosh^-1(y), express
coshx in terms of y;
10. Solve the equation involving
coshx.