Exercise 30.3 Archives - Noon Academy

Exercise 30.3

Differentiate the following with respect to x: $\begin{array}{l} (2{x^2} + 1)(3x + 2) \end{array}$

CBSE, Class 11, Derivatives, Exercise 30.3, Maths, RD Sharma

Answer: f (x) = (2x2 + 1) (3x + 2) f (x) = 6x3 + 4x2 + 3x + 2 Differentiate on both the sides with respect to x,

Differentiate the following with respect to x: $\begin{array}{l} {e^{x\log a}} + {e^{a\log x}} + {e^{a\log a}}\\ \end{array}$

CBSE, Class 11, Derivatives, Exercise 30.3, Maths, RD Sharma

Answer: f (x) = ex log a + ea log x + ea log a elog f(x) = f(x) f(x) = ax + xa + aa Differentiate on both the sides with respect to x,

Differentiate the following with respect to x: $\begin{array}{l} \frac{{{x^3}}}{3} - 2\sqrt x + \frac{5}{{{x^2}}}\\ \end{array}$

CBSE, Class 11, Derivatives, Exercise 30.3, Maths, RD Sharma

Answer: Differentiate on both the sides with respect to x,

Differentiate the following with respect to x: $\begin{array}{l} {3^x} + {x^3} + {3^3}\\ \end{array}$

CBSE, Class 11, Derivatives, Exercise 30.3, Maths, RD Sharma

Answer: f (x) = 3x + x3 + 33 Differentiate on both the sides with respect to x,

Differentiate the following with respect to x: $\begin{array}{l} {x^4} - 2\sin x + 3\cos x\\ \end{array}$

CBSE, Class 11, Derivatives, Exercise 30.3, Maths, RD Sharma

Answer: f (x) = x4 – 2sin x + 3 cos x Differentiate on both the sides with respect to x,