Answer to Question #273855 in Calculus for Annah

Question

Find the derivative of the following functions (use the Rules of differentiation)

1.) y=(5x²-2x+1)²

2.) f(x)= cos (5x)

3. y=e exponent of 2x

4. g(x)= 10 exponent of x

Answer 1

1.

$$y'=2(5x^2-2x+1)(5(2x)-2)$$

$$=4(5x^2-2x+1)(5x-1)$$

2.

$$f'(x)= -5\sin (5x)$$

3.

$$y'=2e^{2x}$$

4.

$$g'(x)=\ln (10)\cdot10^x$$