Question

Q.(bonus)


f(x) = 7x³ × 5x³ + 7x²
f'(x) = ..
f''(2) = ..

[tex]\\[/tex]

​

Answer 1

f(x) = 7x³ × 5x³ + 7x²f'(x) = ( 3 × 7 )x^(3-1) × ( 3 × 5 )x^(3-1) + ( 2 × 7 )x^(2-1)f'(x) = 21x² × 15x² + 14x¹f'(x) = ( 21 × 15 )x^(2+2) + 14xf'(x) = 315x⁴ + 14x_____________f''(2) = 315x⁴ + 14xf"(2) = ( 4 × 315 )x^(4-1) + ( 1 × 14 )x^(1-1)f"(2) = 1.260x³ + 14x⁰f"(2) = 1.260x³ + 14 ( 1 )f"(2) = 1.260x³ + 14f"(2) = 1.260 ( 2³ ) + 14f"(2) = 1.260 ( 2 × 2 × 2 ) + 14f"(2) = 1.260 ( 4 × 2 ) + 14f'(2) = 1.260 ( 8 ) + 14f"(2) = 10.080 + 14f"(2) = 10.094[tex]\purple{\boxed{\green{\boxed{\red{\tt{\ \: \red{{» By : \: XxDarknessxX࿐ }}}}}}}}[/tex]