Hi! I am new to this forum I am looking forward to discuss math problems with everyone here ;]

1)a. Find the tangent line to the curve f(x) = 2^sin(x) at the point x = 0

my answer is y = 1+ln2[2^sin(x)]cos(x)[x]

I don't know what I did wrong

b. Use the line in part (a) to estimate the value of f(.5)

my value = 1.424 I got it wrong also ><

I used this formula: f(x) = f(a) + f'(a)(x-a)

c. What is the error in the approximation, accurate to three decimal places?

my answer is -.454 and it's also wrong ><

I used this formula: E(x) = F(x) - L(x)

can someone please explain to me what I did wrong???

I can't figure it out

Thanks in Advance ;D