Mr Daniels Maths

Differentiation of Exponents

Easy	Medium	Difficult
Q1) Differentiate \( 4e^{4x} \) , dy/dx= \( 16 e^ { 4 x} \)	Q1) Differentiate \( 9e^{x^3} \) dy/dx= \( 27 x ^{2} e^ { x ^{3}} \)	Q1) Differentiate \( 8e^{4x^5} \) ,dy/dx= \( 160 x ^{4} e^ { 4 x ^{5}} \)
Q2) Differentiate \( 8e^{8x} \) , dy/dx= \( 64 e^ { 8 x} \)	Q2) Differentiate \( 10e^{x} \) dy/dx= \( 10 e^ { x} \)	Q2) Differentiate \( 8e^{10x^5} \) ,dy/dx= \( 400 x ^{4} e^ { 10 x ^{5}} \)
Q3) Differentiate \( 6e^{6x} \) , dy/dx= \( 36 e^ { 6 x} \)	Q3) Differentiate \( 5e^{x^3} \) dy/dx= \( 15 x ^{2} e^ { x ^{3}} \)	Q3) Differentiate \( 9e^{8x^3} \) ,dy/dx= \( 216 x ^{2} e^ { 8 x ^{3}} \)
Q4) Differentiate \( 3e^{3x} \) , dy/dx= \( 9 e^ { 3 x} \)	Q4) Differentiate \( 2e^{x^3} \) dy/dx= \( 6 x ^{2} e^ { x ^{3}} \)	Q4) Differentiate \( 3e^{6x} \) ,dy/dx= \( 18 e^ { 6 x} \)
Q5) Differentiate \( 9e^{9x} \) , dy/dx= \( 81 e^ { 9 x} \)	Q5) Differentiate \( 3e^{x^2} \) dy/dx= \( 6 x e^ { x ^{2}} \)	Q5) Differentiate \( 10e^{9x^2} \) ,dy/dx= \( 180 x e^ { 9 x ^{2}} \)