Differentiate the function with respect to x

Question

Choose the correct answer. Differentiate the function with respect to x

f(x)= 2^x • log₃7^{(x^2-4)}

A. ln2 • log₃7^{(x^2-4)}+ 2x • 2xln7/ln3

B. 2^x • ln2 • log₃7^{(x^2-4)}+ 2x • 2xln7/ln3

C. 2^x • ln2 • log₃ + 2x • 2xln7/ln3

D. 2^x • ln2 • log₃7^{(x^2-4)} - 2x • 2xln7/ln3

Answer 1

2xLog₃7^{(x^2 - 4)} = 2x(x² -4)log₃7 = (2x³ -8x)log₃7

d/dx = (6x² - 8)log₃7 = 2(3x² - 4)log₃7