Question

Plss answer this !!
Problem :
Find the derivatives of the function using the limit of definition
y=(3x+4)(5x-2)

Answer 1

plss show ur solutions too

Answer 2

\[
\lim_{\delta{x}\to0}\frac{(3(x+\delta{x})+4)(5(x+\delta{x})-2)-(3x+4)(5x-2)}{\delta{x}}\\
=\lim_{\delta{x}\to0}\frac{15x^2+30x\delta{x}+15\delta{x}^2+14x+14\delta{x}-8-15x^2-14x+8}{\delta{x}}\\
=\lim_{\delta{x}\to0}\frac{30x\delta{x}+15\delta{x}^2+14\delta{x}}{\delta{x}}\\
=\lim_{\delta{x}\to0}[30x+15\delta{x}+14]\\
=30x+14
\]

Answer 3

thank you so much

Answer 4

how did you get the\[= 15x ^{2}+30xh+15h ^{2}+14x+14h-8-15x ^{2}-14x+8\]

Answer 5

im confuse about this equation

Answer 6

Distribute the binomial products.